Ms. Cheney could survive, state political experts say, if Democrats and independents come to her rescue.

Wyoming allows voters to switch party affiliation at the polls, which means the state’s registered Democrats could show up to help Ms. Cheney, a staunch Trump foe, defeat Mrs. Hageman, the Trump-endorsed candidate…

Wyoming voters are made up of a substantial number of independents, many of them registered as Republicans to ensure they can participate in primary elections.

“There’s a big gap between Republican registration percentage and Republican identification percentage,” University of Wyoming political science professor James D. King told The Washington Times. “You have a lot of independents who register as Republicans because that is basically where most elections are decided. What Cheney needs to get is independent votes.”