Should I study abroad in Copenhagen if I'm a dark-haired/eyed Muslim-American?

Maybe a dumb question but I hear that Copenhagen is full of blond blue-eyed people and there is a backlash against Turkish and Muslim minorities. I want to study abroad in Copenhagen but I look pretty Middle Eastern (but I don't wear a headscarf). I also don't speak Danish so I imagine they might think I'm one of the Muslims who has come in and didn't bother to learn the language, lol, even though I'm just a monolingual English-speaking American. :D