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    How Rupert Murdoch Could Fight Back After a Big Legal Defeat

    Rupert Murdoch lost a bid to rewrite a family trust to give his son Lachlan control of his empire after he dies. But the nonagenarian media titan plans to appeal.Rupert Murdoch failed in his attempt to give sole control of his media empire to Lachlan, his eldest son.Emily Najera for The New York TimesMurdoch’s next move Rupert Murdoch has lost his bid to hand control over his media company to his elder son, Lachlan Murdoch, after he dies. A Nevada commissioner ruled against his attempt to modify the terms of a family trust that would have stripped three of his other children of their voting rights over his empire.The media mogul, who plans to appeal the ruling, is used to getting his way, The Times’s Edmund Lee writes for DealBook. Now what?A recap: Under the current arrangement, when Murdoch dies, four of his children — Lachlan, James, Elisabeth and Prudence — will have an equal say in what happens next because they will inherit his voting shares.But Elisabeth and James have different political leanings from Lachlan and their father, and James has indirectly criticized how Fox News operates. The three siblings contested the attempts to change the trust.This was perhaps the last maneuver of Murdoch’s seven-decade career. The 93-year-old wanted to give Lachlan control over his news outlets — which include Fox News, The Wall Street Journal, The New York Post and major newspapers and television outlets in Australia and Britain — to maintain their right-leaning slant.Fox News stars have been instrumental in helping President-elect Donald Trump through his three presidential campaigns.We are having trouble retrieving the article content.Please enable JavaScript in your browser settings.Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.Thank you for your patience while we verify access.Already a subscriber? Log in.Want all of The Times? Subscribe. More

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    Tucker Carlson, Ousted by Fox, Roars Into Milwaukee as a Top Trump Ally

    After time away from the spotlight, the right-wing host is increasingly welcomed by Trump’s inner circle. He also made a surprise visit to Fox’s convention studio.All of a sudden, Tucker Carlson has roared back to the forefront of Republican politics.Once the top-rated anchor on Fox News — only to be abruptly ousted 15 months ago, his national platform yanked out from under his feet — Mr. Carlson has made an improbable re-emergence into America’s living rooms at this week’s Republican National Convention.He was the first person to greet Donald J. Trump after the former president’s dramatic entrance in the convention hall on Monday, and cameras later caught them joking together in Mr. Trump’s friends and family box, just two seats apart. He is even returning to prime time: Mr. Carlson is set to deliver a televised address to the convention on Thursday in a coveted slot shortly before Mr. Trump accepts his party’s nomination.Mr. Carlson once electrified Fox viewers with racial grievances and flimflam conspiracy theories. Spurned by the network, he found mixed success with a self-produced video series on X and a subscription streaming service that failed to generate much buzz, although a recent pivot to lengthy, Joe Roganesque podcasts has attracted more listeners.But behind the scenes over the past year, Mr. Carlson has become more deeply allied with Mr. Trump than at any point in his long relationship with the former president, a man for whom the broadcaster once expressed deep ambivalence.Mr. Carlson lobbied Mr. Trump to select Senator J.D. Vance of Ohio, who had been a frequent guest on his Fox show, as his running mate, and he helped broker a meeting in Milwaukee between Mr. Trump and Robert F. Kennedy Jr., the independent presidential candidate.He and a longtime producer of his shows, Justin Wells, recently visited Mar-a-Lago to pitch Mr. Trump on a fly-on-the-wall docuseries about his campaign. Mr. Trump granted access, and the series is set to be released on Mr. Carlson’s streaming platform before the election; Mr. Wells and a cameraman were filming several feet away from the former president in Pennsylvania on Saturday when he was shot by a would-be assassin.We are having trouble retrieving the article content.Please enable JavaScript in your browser settings.Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.Thank you for your patience while we verify access.Already a subscriber? Log in.Want all of The Times? Subscribe. More

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    Rupert Murdoch Marries for the Fifth Time

    Mr. Murdoch, the 93-year-old media mogul, married Elena Zhukova, a retired molecular biologist, Saturday at Moraga, his Bel Air vineyard estate in Los Angeles.Rupert Murdoch, who retired from the boards of Fox and News Corporation last year, walked down an outdoor aisle under blue skies to exchange vows on Saturday with Elena Zhukova, his fifth bride, at Moraga, his Tuscan-style vineyard estate in the hills of the Bel Air neighborhood of Los Angeles.Ms. Zhukova, 67, carried a bouquet of white flowers and wore an ankle-length, off-the-shoulder white dress with a square neckline, reportedly designed by the London-based designer Emilia Wickstead; Mr. Murdoch, 93, wore a dark suit with sneakers. Notable guests caught by paparazzi on the way into the ceremony included Robert K. Kraft, the owner of the New England Patriots, and Robert Thomson, the chief executive of News Corp.The couple met through Mr. Murdoch’s third wife, Wendi Deng, according to The Daily Mail, which first reported their relationship last summer. Ms. Zhukova is a retired molecular biologist who immigrated to the United States from Moscow in 1991, just months before the Soviet Union collapsed. She was previously married to Alexander Zhukov, the billionaire energy investor.There have been few public details about the couple’s courtship, with representatives for Mr. Murdoch staying mum, but The Daily Mail reported that shortly after meeting, Mr. Murdoch and Ms. Zhukova spent weeks vacationing together in the Mediterranean aboard the Christina O, a yacht that once belonged to Aristotle Onassis. Their engagement was announced in March.Mr. Murdoch’s fifth marriage comes after a called-off engagement to Ann Lesley Smith, who is a retired dental hygienist and a conservative radio host. Last spring, he proposed to Ms. Smith but broke off the engagement after less than a month.Ms. Zhukova’s marital history is less well documented. She met her first husband, Mr. Zhukov, now a British citizen, when both were students in the Soviet Union. Their marriage, during which they had a daughter, the entrepreneur and socialite Dasha Zhukova, lasted three years, according to The New Yorker.We are having trouble retrieving the article content.Please enable JavaScript in your browser settings.Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.Thank you for your patience while we verify access.Already a subscriber? Log in.Want all of The Times? Subscribe. More

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    R.B.G. Award Organizer Cancels Ceremony After Fallout Over Honorees

    The Opperman Foundation said it would “reconsider its mission” but did not say whether those selected, including Elon Musk and Rupert Murdoch, would still receive the award.The organizer behind an honor named for Justice Ruth Bader Ginsburg, a lifelong champion of women’s rights and liberal causes, is canceling the award ceremony scheduled for April after facing blistering criticism from her family and friends over several of this year’s planned recipients.Justice Ginsburg helped establish the award in 2019, the year before she died. It was originally intended for “women who exemplify human qualities of empathy and humility,” but four of the five intended recipients this year are men. Among them are Elon Musk, the tech entrepreneur who frequently lobs tirades at perceived critics; Rupert Murdoch, the tycoon whose empire helped give rise to conservative news media; and Michael R. Milken, the financier who was a face of corporate greed in the 1980s and served nearly two years in prison before becoming a philanthropist.“The last thing we intended was to offend the family and friends of R.B.G.,” Julie Opperman, the chairwoman of Dwight D. Opperman Foundation, which awards the prize every year, said in a statement on Monday. She added: “The foundation is not interested in creating controversy. It is not interested in generating a debate about whether particular honorees are worthy or not.”Ms. Opperman explained that the reason for including men as recipients this year was to reflect and uphold Justice Ginsburg’s “teachings regarding equality.” The foundation “did not consider politics” but focused on selecting leaders who “have made significant contributions to society,” she said.Before the foundation released the statement, the children of Justice Ginsburg had demanded that their mother’s name be removed from the prize, which until this year was called the Justice Ruth Bader Ginsburg Woman of Leadership Award.Her daughter, Jane C. Ginsburg, a law professor at Columbia, said the choice of winners this year was “an affront” to the values the justice stood for.We are having trouble retrieving the article content.Please enable JavaScript in your browser settings.Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.Thank you for your patience while we verify access.Already a subscriber? Log in.Want all of The Times? Subscribe. More

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    After R.B.G. Awards Go to Musk and Murdoch, Justice Ginsburg’s Family Objects

    The children of Ruth Bader Ginsburg, who championed liberal causes and women’s rights, said the choice of recipients this year was an “affront” to the memory of their mother.When Justice Ruth Bader Ginsburg, a champion of liberal causes whose advocacy of women’s rights catapulted her to pop culture fame, helped establish a leadership award in 2019, she said she intended to celebrate “women who exemplify human qualities of empathy and humility.”But this year, four of the recipients are men, including Elon Musk, the tech entrepreneur who frequently lobs tirades at perceived critics; Rupert Murdoch, the business magnate whose empire gave rise to conservative media; and Michael Milken, the face of corporate greed in the 1980s who served nearly two years in prison. It has prompted family members and close colleagues of Justice Ginsburg to demand that her name be removed from the honor, commonly called the R.B.G. Award.In a statement, her daughter, Jane C. Ginsburg, a law professor at Columbia University, said the choice of winners this year was “an affront to the memory of our mother.”“The justice’s family wish to make clear that they do not support using their mother’s name to celebrate this year’s slate of awardees, and that the justice’s family has no affiliation with and does not endorse these awards,” Ms. Ginsburg said.Even as he declined to specify any of the recipients who he believed undermined the spirit of the award, Trevor W. Morrison, a former dean of New York University School of Law and one of the justice’s former law clerks, expressed concern that not all of them reflected the justice’s values.“Justice Ginsburg had an abiding commitment to careful, rigorous analysis and to fair-minded engagement with people of opposing views,” he said in a letter addressed to the organization that confers the awards, the Dwight D. Opperman Foundation. “It is difficult to see how the decision to bestow the R.B.G. Award on this year’s slate reflects any appreciation for — or even awareness of — these dimensions of the justice’s legacy.”We are having trouble retrieving the article content.Please enable JavaScript in your browser settings.Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.Thank you for your patience while we verify access.Already a subscriber? Log in.Want all of The Times? Subscribe. More

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    Fox News and Trump Go Live Wednesday for First Time in 2 Years

    A town hall in Iowa on Wednesday is the network’s first live interview with the former president in nearly two years, the latest twist in a long-running drama.One of television’s longest-running soap operas is about to start a new chapter.Donald J. Trump has not appeared for a live interview on Fox News since April 2022, a nearly two-year stretch of chilliness between the former president and the channel whose airwaves he once relied on to cement his status atop the American right.In that period, all of Mr. Trump’s Fox News interviews were pretaped, a notable precaution for a network that paid $787.5 million to settle a defamation lawsuit fueled by the former president’s mendacious claims about the 2020 election. That changes on Wednesday, when Mr. Trump will appear live on the network for a town hall in Des Moines ahead of the Iowa caucuses.The relationship between Mr. Trump and the Rupert Murdoch-owned network has featured more drama than a season of “Real Housewives.” But Wednesday’s event is not only a turning point and a potential ratings winner for Fox News: It is also the former president’s first live interview on any major news network since he went on CNN last May, an event that drew harsh criticism for the volume and velocity of his unfiltered false claims.Mr. Trump has not exactly been silenced. He refused the invitations of several networks to participate in live Republican primary debates. And he has agreed to numerous pretaped interviews, including an appearance on NBC in September that also prompted complaints from viewers who berated the network for providing him a platform.His relationship with Fox News, however, is especially complicated. In fact, it wasn’t that long ago when parts of the network seemed to be moving on.Back in 2022, Fox News snubbed Mr. Trump’s rallies while offering admiring coverage to a rival, Gov. Ron DeSantis of Florida. After Mr. Trump announced in November 2022 that he would again run for president, the network kept him off its airwaves for a full five months. When Mr. Trump did return, for a taped interview last March with Sean Hannity, he received a cool reception from other Fox hosts; one network contributor called his appearance “absolutely horrific.”The slights angered Mr. Trump, who has harbored resentment toward Fox over its early projection of Arizona for Joseph R. Biden Jr. on election night in 2020. Over the past year, the former president has lobbed crude insults at Mr. Murdoch and denounced Fox as “fake news” and “hostile” in posts on Truth Social, his preferred social media platform. He has also grumbled to allies that the network erred in settling the defamation suit brought by Dominion Voting Systems, saying it offered ammunition to other potential litigants.In an interview, Bret Baier, Fox News’s chief political anchor, who is moderating the Wednesday event alongside the anchor Martha MacCallum, did not shy away from acknowledging the volatility of the relationship.“We’re one Truth Social post away from some different feeling,” he said.Despite the wariness, both sides found reasons to agree to Wednesday’s town hall.Judging by his poll numbers, many conservatives remain enthralled by Mr. Trump, and keeping the potential Republican nominee at arm’s length would erode Fox News’s credibility with a core audience. While Mr. Trump has told confidants that he believes Fox News has lost some influence with Republican voters, it remains the highest-rated cable network and home to influential conservatives like Mr. Hannity and Jesse Watters.Furthermore, the town hall gives Mr. Trump a chance to dunk on both his presidential rivals and one of his media bêtes noires: CNN.CNN had previously announced that it would sponsor a Republican debate in Iowa on the same night, in the same city, at the same time (9 p.m. Eastern). Mr. DeSantis and Nikki Haley, Mr. Trump’s closest rivals in state polls, will be at that debate, but Mr. Trump boycotted. Fox’s town hall allows him to siphon away attention and potentially deliver a TV ratings victory over CNN — which would also please Fox News.Given the rough-and-tumble nature of a presidential campaign, Wednesday’s telecast is unlikely to represent a lasting détente. One person with direct knowledge of interactions between the Trump camp and Fox News, who spoke on the condition of anonymity, said the relationship remained chilly.The televisions on Mr. Trump’s plane once constantly aired Fox News, but that is no longer the case, the person said. The former president often requests to watch Mr. Hannity’s program, but sometimes prefers Newsmax, particularly its host Greg Kelly, an old acquaintance from New York political circles. Mr. Trump remains a fan of Mr. Hannity — and of Mr. Watters and Maria Bartiromo — but he has soured on the “Fox & Friends” host Steve Doocy, whom he recently described as “not nice like he should be.”Mr. Baier said he had studiously courted Mr. Trump in recent weeks, pitching him on the idea of a town hall over the phone and at least once in person at his Florida mansion, Mar-a-Lago.“It’s not easy,” he said of the efforts required to coax Mr. Trump into an interview. He said he had encouraged the former president to take “tough but fair” questions in a live setting.“This is getting to the playoffs,” Mr. Baier said. “This is a time when voters need to see him live, in person, when it happens.”So what happens if Mr. Trump repeats on live TV his baseless claim that the 2020 election was rigged?“We’re ready to deal with it,” Mr. Baier said, noting that he disputed Mr. Trump’s claims when the subject arose at their pretaped interview last June. “But if he’s spending all of his town hall time dealing with 2020, and not talking about what he wants to do as president, he’s got other issues.” (At the time, Mr. Trump was not thrilled about Mr. Baier’s real-time fact-checking, calling it “nasty.”)For Mr. Baier, the next person on his list for a live, unfiltered interview is President Biden. “We’ve had a request in every two weeks since South Carolina, when candidate Joe Biden won the primary,” he said. “We would love to do a town hall with the president. We would do that in a heartbeat.”Jonathan Swan More

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    Are the Elite Anti-Trumpers the ‘Bad Guys’?

    Readers react to David Brooks’s suggestion that the elite are partly to blame for Trumpism.To the Editor:Re “What if We’re the Bad Guys Here?,” by David Brooks (column, Aug. 4):I am sick and tired of people like Mr. Brooks telling me that I am the problem or the “bad guy” because I am educated (and no, I was not educated at an Ivy League school, and neither of my parents finished high school) to justify the fact that 35 percent of the population are fervent supporters of Donald Trump, no matter what he says or does.Moreover, Mr. Trump is also part of the elite, but his supporters simply ignore this. This is not because he identifies with them in any way (as a golden-haired billionaire living in a mansion), but because Fox, Newsmax, and other right-wing TV and radio media outlets, right-wing militias and Trump puppet politicians in Congress essentially brainwashed them with their daily dose of propaganda about how the “left wing socialists and communists,” “elites,” the “woke,” etc., are all conspiring to take their country and only Donald Trump can stop them.In my opinion, this is the biggest problem, Mr. Brooks, not educated Americans who as you correctly state are “are earnest, kind and public spirited.”So, let’s not beat ourselves up because the other side has been completely brainwashed, does not accept facts, scientific and otherwise, is obsessed with conspiracies and lives in a right-wing echo chamber.Michael HadjiargyrouCenterport, N.Y.To the Editor:While I grew up in a small Midwestern town in a middle-class family, education has offered me a satisfying life with a secure retirement. Many of my classmates who chose a more blue-collar life path have endured more struggles, starting with military service in Vietnam. I am quite confident that many of them today support Donald Trump, at least partly for the reasons that David Brooks suggests.Mr. Brooks’s column was a brilliant, moving description of the unspoken arrogance of many of us who are left-leaning. I believe that some sincere humility and understanding with regard to the concerns of many who feel left behind would go a long way to healing some of our divisions. Thanks to Mr. Brooks for his insight.David MahanSebring, Fla.To the Editor:Fine: I’ll accept David Brooks’s plea that we not blame the logic-defying viability of Donald Trump on the wrongheadedness of tens of millions of Americans. I get the class resentment. I share the rage against excessive political correctness and the feeling that immigration is unchecked and overwhelming. I see his point that the elite stoke these resentments by voicing our support for the nonelite while spending most of our energy and resources protecting our own class privilege.But let’s not gloss over the main factor here: Mr. Trump is the latest version of a leader who is little more than a self-obsessed expert at exploiting and inflaming the fear and resentments of the masses to benefit his own power and ego. Such a leader cares nothing about those who harbor these resentments, and certainly does not share the same fears.On a more practical note, those who resent wokeism are shooting themselves in the foot by supporting someone who so many Americans, elite and otherwise, would vote for over their proverbial dead bodies.Brian SmithDayton, OhioTo the Editor:The irony behind the case that David Brooks makes for Donald Trump’s support is that this support is based entirely on words (primarily offensive) and not actions. What did Mr. Trump do as president to help his supporters and make their lives better?His major accomplishment was the tax reform enacted in 2017, which heavily favored the rich and elites (including himself). His supporters love the way he attacks his “enemies” and anyone who disagrees with him and feel he speaks for them. The lack of actual benefits they have enjoyed seems not to matter.Ellen S. HirschNew YorkTo the Editor:Donald Trump, as loathsome as he is, has done one significant service for this country. He has made clear the great social divide that David Brooks describes in his excellent column. Now, how to fix it?As a former naval officer and Vietnam veteran, I would suggest universal national service, with almost no exemptions. Being forced to live with, eat with, work with people from all over the country would teach all of us to be more tolerant. This would not just be military service; it would include working in national parks, teaching in underserved schools, and many other forms of service to the nation.The only thing standing in the way is a timid Congress. Is there anyone in Congress brave enough to take this on?Jeffrey CallahanClevelandTo the Editor:David Brooks makes a familiar and not unreasonable argument about how the fear, resentment and sense of alienation that fuel the cult of Trumpism proceed from economic and cultural realities for which liberal elites are, in large part, responsible.When Mr. Brooks asks, however, whether anti-Trumpers should consider whether they are the “bad guys,” he embarks on an analysis that completely excludes millions of people like me who find Donald Trump and Trumpism appalling, without being “elite” at all.I was raised in a row home in northeast Philly by a single mom who was a cop. My dad was a union construction worker. I’ve been a musician and a bartender for most of my adult life. In short, I’m hardly part of the elite class that Mr. Brooks seems to equate with the anti-Trump movement, and yet I’m passionately anti-Trump!Maybe this particular piece simply wasn’t aimed at people like me, and that’s fine. But all too often I see this oversimplified, false duality that leaves out all the decent working-class people who have themselves been hurt by neoliberal policies and narratives, and yet would never channel their frustration into an odious movement like Trumpism. When we condemn Mr. Trump and his followers, we do so with a clean conscience.James A. LeponeTelford, Pa.To the Editor:David Brooks identifies the privileges enjoyed by the highly educated class and the resentment of the less educated class that might cause them to be ardent supporters of Donald Trump. Mr. Brooks concludes with a warning that history is the graveyard of classes with preferred caste privileges.What he fails to consider is that in the United States his identified “upper” class encourages, both by words and action, members of the “lower” class to join it. Nothing would make those with college or graduate degrees happier than if every capable child joined their class. This differs very much from any true caste system.Jack SternSetauket, N.Y.To the Editor:David Brooks’s column gave me a new perspective regarding why people support this obvious con man named Donald Trump. Although Mr. Brooks makes excellent points regarding the anger that people feel, is it not the Democrats who advocate and pass legislation regarding the minimum wage, infrastructure, child care, education, the environment, middle-class tax relief, financial assistance with community colleges and technical schools, etc., all for the benefit of working- and middle-class Americans?Mr. Trump and the current crop of Republicans have done nothing to help these people. In light of this, isn’t propaganda from Mr. Trump and his followers, as well as the cynical right-wing media, also to blame for this misplaced anger and anti-democratic sentiment?We’re not the bad guys. Donald Trump and Rupert Murdoch are.Phillip L. RosenVenice Beach, Calif.To the Editor:David Brooks does an excellent job of setting up a straw man to bring down. Most liberals aren’t part of the “elite,” no matter how many right-wingers parrot that lie.Exit polls from 2020 found that Joe Biden outpaced Donald Trump significantly among voters making less than $100,000 a year, while Mr. Trump did better among those making $100,000 or more. Mr. Trump is no friend to the working class, and polls like these give me confidence that a majority of the working class recognizes this. And any member of the working class who supports him or today’s extreme-right Republican Party is going against their own best interests.It’s liberals and Democrats (usually but not always the same) who support policies to empower workers and reduce economic inequality, and the other side doesn’t give a damn. Liberals are not the elite and are not the enemy of the working class.Trudy RingBend, Ore. More

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    DeSantis Confronts a Murdoch Empire No Longer Quite So Supportive

    The Florida governor has faced tough questions and critical coverage lately from Fox News and other conservative outlets, in a sign of growing skepticism.In March, as Gov. Ron DeSantis of Florida laid the groundwork for his presidential run, he joined the Fox News host Brian Kilmeade to play a nationally televised game of catch on his hometown baseball field outside Tampa.The questions Mr. DeSantis faced were as relaxed as the tosses.“Locker room gets you ready for the press, right?” Mr. Kilmeade asked. “Because your teammates, if they like you a lot, they rip you all the time.”At the time, Mr. DeSantis was seen by many in the Republican Party as the strongest possible alternative to former President Donald J. Trump, who had repeatedly attacked the network and had seen his relationship with its owner, Rupert Murdoch, evaporate.Four months later, with Mr. DeSantis’s campaign having failed to immediately catch fire against Mr. Trump, Fox News is not taking it quite so easy on Mr. DeSantis anymore.Over the last week, he has confronted noticeably tougher questions in interviews with two of the network’s hosts, Will Cain and Maria Bartiromo, who pressed him on his anemic poll numbers and early campaign struggles. It was a striking shift for a network that for years has offered Mr. DeSantis a safe space as a congressman and a governor.Other outlets in Mr. Murdoch’s media empire have also been slightly less friendly of late.A recent editorial in The Wall Street Journal criticized a tough immigration bill that Mr. DeSantis signed into law in May. And The New York Post, which hailed the governor as “DeFuture” on its front page last year, has covered his lagging poll numbers, as well as the backlash to a video his campaign shared that was condemned as homophobic.Mr. DeSantis was always bound to be subjected to more scrutiny as a candidate, rather than a candidate in waiting. His decision to challenge Mr. Trump — who remains a favorite of Fox News’s audience and some of its hosts, including Ms. Bartiromo — was also certain to result in sideswipes from fellow Republicans.But taken together, the signs of skepticism from previously friendly conservative megaphones suggest that Mr. Murdoch’s media empire might now be reassessing him as the early shine comes off his campaign.Rupert Murdoch’s news outlets are less determinative of outcomes in Republican politics than they once were, but they remain influential.Victoria Jones/Press Association, via Associated PressEven if Mr. Murdoch’s outlets as a whole are less determinative of outcomes in Republican politics than they once were, they remain influential, and G.O.P. candidates and major party donors still pay close attention to their coverage.Whether Mr. Murdoch wants to see Mr. DeSantis as the nominee is unclear. Some of Mr. DeSantis’s moves — like his ongoing punitive battle with Disney — are unlikely to have pleased the business-minded Mr. Murdoch, who nearly a decade ago called for federal officials to make immigration reform a priority.The media mogul likes to watch political races play out, even live-tweeting reactions to one of the Republican presidential debates during the 2016 election. Mr. Murdoch has privately told people that he would still like to see Gov. Glenn Youngkin of Virginia enter the race, according to a person with knowledge of the remarks. And he has made clear in private discussions over the last two years that he thinks Mr. Trump, despite his popularity with Fox News viewers, is unhealthy for the Republican Party.A spokesman for Mr. Murdoch and a spokesman for Fox did not respond to an email seeking comment.Mr. DeSantis’s campaign declined to comment. Privately, his advisers say that tougher questions were always expected and that the governor plans to continue holding interviews with Fox hosts who may challenge him.Republican voters view Mr. DeSantis favorably overall, but he has been unable to meaningfully narrow the polling gap between him and Mr. Trump since entering the race, even as he remains the former president’s leading challenger. Mr. DeSantis has also continued to show an awkward side in unscripted exchanges where he is challenged — a contrast with Mr. Trump, a no-holds barred campaigner who seems to enjoy combative interviews.The tide has not completely shifted. On Monday, The Wall Street Journal’s editorial page took a new jab at Mr. Trump for adjusting his policy positions depending on which audience he is addressing, and gave Mr. DeSantis a slight boost by comparing him favorably.For Fox, navigating its coverage of Mr. DeSantis, Mr. Trump and an already bitter Republican presidential primary race is just one challenge.This spring, the network paid dearly for its airing of Mr. Trump’s false election claims, settling a defamation lawsuit related to its coverage of the 2020 presidential contest for a staggering $787.5 million. Further legal dangers lie ahead.Less than a week after the settlement, Fox dismissed Tucker Carlson, its most popular prime-time host, in an earthquake for the conservative media ecosystem. The network now faces persistent concerns about dipping ratings and upstart competitors that are eager to claw away Fox viewers who want a more pro-Trump viewpoint.Although Mr. Trump still appears on Fox News, his relationship with the network remains hostile, to the extent that people close to him say there is little chance he will participate in the first Republican presidential debate, which Fox News is hosting next month. (Mr. Trump, who leads in national polls by roughly 30 percentage points, also does not want to give his rivals a chance to attack him in person, those people said.)Mr. DeSantis, who typically shuns one-on-one interviews with mainstream political reporters, has a long and positive history with Fox News.Mr. DeSantis with his wife, Casey, after winning the Florida governor’s race in 2018. For years, he has enjoyed a friendly relationship with Fox News. Scott McIntyre for The New York TimesAs a congressman, he co-hosted the show “Outnumbered” several times. In 2018, he announced his run for governor on “Fox & Friends.” During the coronavirus pandemic, Sean Hannity of Fox News praised Mr. DeSantis in an interview, saying: “I’m an idiot. I should be in Florida. You should be my governor.”And after declaring his candidacy for president in a glitch-ridden livestream on Twitter seven weeks ago, Mr. DeSantis immediately went on Fox for an interview, although the network did poke fun at his technical difficulties.Mr. Trump himself raged earlier in the year about what he perceived as Fox’s excessively friendly treatment of Mr. DeSantis. “Just watching Fox News. They are sooo bad,” Mr. Trump wrote on his TruthSocial site in May. “They are desperately pushing DeSanctimonious who, regardless, is dropping like a rock.”He has also taken digs at features in The New York Post, including one in which the writer Salena Zito did a lengthy interview with Mr. DeSantis in his hometown, Dunedin, Fla. — an article Mr. Trump denounced as a “puff piece.” (The Post, once one of Mr. Trump’s favorite papers, has ripped into him.)Mr. Trump was undoubtedly more pleased last Thursday when Mr. Cain, the Fox host, pressed Mr. DeSantis on his poll numbers, asking the governor why he was so far behind.In response, Mr. DeSantis suggested that he was being unfairly attacked both by the “corporate media” and, somewhat incongruously, by the president of Mexico, Andrés Manuel López Obrador, who has criticized him for his hard-line stances on immigration.“So I think if you look at all these people that are responsible for a lot of the ills in our society, they’re targeting me as the person they don’t want to see as the candidate,” explained Mr. DeSantis, adding that his campaign had “just started.”Mr. Cain tried again, saying that he believed Mr. DeSantis had “done a wonderful job” as governor but that “there are those that say there’s something about you that’s not connecting, for whatever reason, not connecting with the voter.”Mr. DeSantis wove around the question and noted that his campaign had raised $20 million in its first six weeks.“We’re in the process of building out a great organization, and I think we’re going to be on the ground in all these early states,” he said.Mr. Cain is no dyed-in-the-wool Trump supporter. He has talked about voting against Mr. Trump in 2016. But when Mr. DeSantis joined Ms. Bartiromo, who relentlessly pushed the former president’s conspiracy theories about the 2020 election, for an interview on Sunday, he surely expected to be challenged.“You’ve done a great job pushing back against ‘woke,’ we know that,” Ms. Bartiromo said after allowing Mr. DeSantis to hit his usual talking points for several minutes. “But I’m wondering what’s going on with your campaign. There was a lot of optimism about you running for president earlier in the year.”Mr. DeSantis forced out a laugh as Ms. Bartiromo read negative headlines about his campaign. He then jumped into a rebuttal that focused on his efforts to build strong organizing operations in Iowa and New Hampshire.“Maria, these are narratives,” he said. “The media does not want me to be the nominee.”Jonathan Swan More