Makes no difference. She will just turn Demoncrat and run against whoever wins Repub primary.

"Embattled Wyoming Rep. Liz Cheney, who’s reelection campaign is under fire from former President Donald Trump, widely trails her top challenger in a new 2022 survey.
In the SoCo Strategies poll conducted to gauge the impact of Trump endorsements, Cheney is 18-points behind Trump-backed Harriet Hageman.
The new survey of Republican voters found that Hageman, a GOP activist and Cheyenne land and water rights attorney, leads Cheney, 38%-18%. State Representative Anthony Bouchard is at 12% and 26% are undecided.
The independent survey -- not done for Cheney or Hageman -- was included in a handful of other state results showing that a Trump endorsement can be a game changer. State officials this week announced that Trump plans to hold a rally next spring in Wyoming for Hageman far ahead of the August 16 primary."

https://www.msn.com/en-us/news..../politics/liz-cheney