Wyoming is a place where in large parts of the state oil wells as far as the eye can see and giant open-pit coal mines are normal and acceptable. Look at Gillette, WY and scroll around a satellite view, you've got open pit mines stretching for 70 miles and and the endless checkerboard of pumpjacks and access paths across the plains.

They're also a place with a erratic economy largely dependent on declining commodities and a past and present willingness to accept environmental damage and personal/community health risks for economic gain.

I am not suggesting a nuclear plant should cause any substantial amount of such risks, just that I think the opposition in many places in WY would be a lot more muted than in most other places you could look to place a reactor in the country.