Republican Conference Chairman Rep Liz Cheney walks up to the podium for a press conference at the US Capitol on December 17, 2019, in Washington, DC (Getty Images) “I think for us as a party, we’ve got to be the party of hope and aspiration, and we cannot embrace insurrection, we can’t minimize what happened on January 6th, and I think that all of us regardless of partisanship, have an obligation and a duty to the Constitution," she said. When asked whether she would support Trump if he were the 2024 nominee, Cheney said bluntly and without pause: “I would not."