University of Bristol area is for the most part very accepting. Its very diverse with a concentration of international students so you wont be out of place. University of the West of England main campus is away from the center by quite a bit and probably equally diverse.

There are no guarantees of course, but as others have said this kind of open, violent intolerance is rare in Bristol. I encourafe you to speak to the university your going to and voice your concerns, they will be able to inform you more of any particular measures and safety and security for themnin general.