Murray said in a statement Tuesday that he did not remember the night in question and declined to directly address the allegation. He also announced that he would not run for reelection or enter the governor's race this year, where he was widely predicted to be a front-runner.
"To be certain, I have absolutely no recollection of this incident whatsoever and, as such, will not engage in any conjecture about it in the media," Murray said.
Twiford, the daughter of former Wyoming governor Mike Sullivan, decided to share her experience following the allegation made last month by a Colorado woman. The woman, Tatiana Maxwell, said that Murray sexually assaulted her in the early 1980s. Murray has denied that claim.