Her announcement has triggered a backlash amongst some Wyoming residents, and many allies of Enzi, who consider Cheney to be a carpetbagger. 

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Cheney, a former State Department official and Fox News commentator, moved to the East Coast when she was 12 after her father won his seat in Congress.

She returned to Wyoming last year after living most of her life in the Washington, D.C. area. 

“It is a unique strategy to live your entire life elsewhere and then come to a state a year before you’re going to announce you’re going to run for that state’s highest office," Rep. Cynthia LummisCynthia LummisFemale lawmakers flee House for higher office, retirement Despite a battle won, 'War on Coal' far from over Dems on offense in gubernatorial races MORE (R-Wyo.) told reporters this week. 

The News Record of Gillette, Wyo. said in an editorial before Cheney announced that "if you want to run for U.S. Senate, try it from Virginia or some other state."

But Cheney rejects the suggestions she has only moved to Wyoming to run for political office in a safe Republican area. 

"I am a fourth-generation Wyomingite. My family first came here in 1852, walking the Mormon Trail in search of religious freedom. My great-grandfather settled here in 1907. Wyoming has always been home," Cheney told The Hill’s Cameron Joseph last week. 

"In my experience, people who launch the carpetbagger charge do so to avoid talking about issues and substance. I intend to run a campaign worthy of the people of Wyoming, focused on policy and how we can defend the values that have made this state and nation great." 

Longtime GOP strategist Ed Rollins told The Hill that Cheney will be portrayed as “a housewife who's kind of bored who moved back to Wyoming after a long time to run for the Senate.”

PPP said in a separate tweet that its poll sample was 62 percent Republican and 22 percent Democrat. 

- This post was updated on July 23 at 12:20 p.m.