It shouldnt be too much of a problem. Especially if you intend to live in the southern part of the state closest to the Massachusetts border. That’s not to say the entire state is bigoted, not by a long shot. Many great open minded people here, you’re just slightly more likely to run into unaccepting people once you get north of Manchester and concord. Southern New Hampshire is so close to the Boston metro area that is growing increasingly more dense and surging in population so a lot of very liberal voters are moving into southern New Hampshire(myself included, bought a house in southern Nh just pre Covid). It’s a solid purple state now and will only grow more blue over time. We had extremists on the ballot in November that were handedly defeated in state elections. The Governor is a more centrist Republican(by todays standards) but still holds some moderately repressive ideologies. There’s def much worse places you could be with a GOP rep in the governors seat. We have one of the more restrictive abortion laws in New England and some fringe groups are trying to pass anti-lgbt laws but they don’t clear the legislature. The Governor has some mild ambition toward the white house so he plays more to the center and denounces the Maga wing of the party, usually. As I said if you plan to stay in the south-eastern part of the state you wouldn’t feel ostracized much. You’ll likely run into the occasional “old guard” of staunch religious conservative that may try to make you uncomfortable anywhere in the state but in the areas closer to the border, the less likely. Once you get further north and west you’ll see more yards and road sides littered with “Trump won” and “god says there’s only two genders” type of signs but you can easily avoid those people, they are not the effective majority they once were.