Hey, I'm sorry to hear you're feeling this way. Unfortunately, life throws situations like these at us every so often, and we'll be put with people we initially can't even imagine making friends with. The truth is, this isn't something you can escape, but rather something you should take on. So you're a nerdy enthusiast - what's wrong with that?! 😛 Are there societies at your school of interest? If so, joining those would be a great way to meet like-minded people! Girls' schools can be harsh, I know, but you'll find your people - even if it means putting yourself out there and acting a lot more confident than you feel.
Good luck!