House speaker Nancy Pelosi said her family is “heartbroken and traumatized” after a brutal and bloody hammer assault on her husband that has shocked the US as it stands on the brink of tense and crucial midterm elections.

An intruder smashed his way through a rear door into the Pelosi’s house in San Francisco on Friday. The man confronted Paul Pelosi and shouted, “Where is Nancy.”

Paul Pelosi, 82, underwent surgery to repair a skull fracture and serious injuries to his right arm and hands but his doctors expect a full recovery. However, the brutal attack – by a man who had posted online right-wing conspiracy theories – came amid rising warnings of political violence in the US.

In her first official statement on the attack, Nancy Pelosi said: “A violent man broke into our family home, demanded to confront me and brutally attacked my husband Paul. Our children, our grandchildren and I are heartbroken and traumatized by the life-threatening attack on our Pop.”

She added: “We are grateful for the quick response of law enforcement and emergency services, and for the life-saving medical care he is receiving. Please know that the outpouring of prayers and warm wishes from so many in the Congress is a comfort to our family and is helping Paul make progress with his recovery.”

Paul Pelosi remains in the hospital but “his condition continues to improve”, the speaker said.

The attacker now faces charges of attempted murder and other felonies.

David DePape, 42, has been named by police as the attacker. Formal charges will be filed on Monday, and his arraignment is expected on Tuesday, according to the San Francisco district attorney’s office.

In recent posts on several websites, he had reportedly expressed support for former president Donald Trump and embraced the cult-like conspiracy theory QAnon. The rambling posts included references to “satanic pedophilia”, aliens, antisemitic tropes and criticism of women, transgender people and censorship by tech companies.