Saturday was the biggest night of the year for Republicans in southwest Wyoming — a prom-themed fund-raiser at a Holiday Inn that drew 150 of the most active conservatives in Carbon, Sweetwater and Uinta counties.

But Representative Liz Cheney, the Republican who has represented Wyoming since 2017, was nowhere to be found. She spent Saturday night 230 miles away with a group certain to give her a friendlier reception: reporters and media executives at the annual gathering of the Wyoming Press Association…

Ms. Cheney hasn’t appeared at a state Republican Party function in more than two years and hasn’t been to an in-person event for any of the party’s 23 county chapters since 2020. Her vote to impeach Mr. Trump last January and her decision to take part in the House investigation of the attack on the Capitol on Jan. 6 have forced her into a kind of exile from Wyoming’s Republican Party apparatus, in a state where Mr. Trump won 70 percent of the vote in 2020, the highest percentage in the country.

“She speaks about her conscience, but you weren’t elected to do what you think is right, you were elected to do what the people want you do to,” said Sam Eliopoulos, a Cheyenne businessman and Republican who is running for a seat in the State House. “She didn’t do what the people want her to do. At the end of the day, that’s it.”