Doubts quickly surfaced about her viability in the 2022 GOP primary after she announced her support of impeachment and then led nine other House Republicans on Wednesday in voting to impeach Mr. Trump for inciting the deadly Jan. 6 riot at the U.S. Capitol.

“She couldn’t win a primary today for dog catcher,” said Martin Kimmet, chairman of the Republican Party in Park County, Wyoming…

“I’ve gotten a lot of phone calls, more than you could count. I have not gotten one in support of what Liz Cheney did,” Mr. Kimmet said. “What she did was wrong. Period.”