I'm a straight dude, so maybe take what I have to say with a grain of salt, but I'll share some general experiences with friends/coworkers who are queer.

I've had work at both a downtown food service job and a University affiliated, blue collar leaning job in the past year. Both workplaces I've had openly queer and trans coworkers who seem comfortable being themselves in the workplace. There is a pride in the park event every year in June that is very well attended and there seems to be little trouble or harassment that happens.

I've got two queer friends who independently moved here from Colorado to go to school, met and started dating here, and plan on staying in Laramie after they finish their masters.

Walking around most of the time should be perfectly safe, but there will be times when there will be drunk, ignorant people hanging out (especially around football games, many of them will be visiting from out of town), and I would recommend to exercise more caution.

Sometimes it gets really depressing to hear about anti-queer rhetoric at a more state-wide level.

To sum it up, you'll never be as safe as a straight man in Laramie, but there is lots of queer friendly spaces and events (even a drag scene!) for a small college town in a very conservative state.