TL:DR Got raped by a girl at University, everyone just brushes it off and thinks it's funny and/or that guys can't be raped

To give some context: I'm a male, college student, 21 years old. This happened about a year ago.

I'm at the club nearing the end of a night when a familiar girl comes up to me and tells me she lost her keys, all her friends went home already and aren't replying and she's way to drunk to sleep on the street. Since we've met before and I'm close to some of her friends I suggest to her that she can sleep in my bed and I would sleep on the floor. I just figured it would be easier than trying to contact her flatmates.

We go back to mine, mind you I'm pretty drunk at this point but still functioning, I tell her to sleep on the bed and I'll have the floor. She tells me I can sleep in the bed that she doesn't mind. I have a king size bed so I agree, I go one of the ends of the bed turn around and fall asleep.

In the morning, I kindly ask her to leave when I wake up and even call her a cab. As soon as she has left I go to the bathroom and that's when I see myself in the mirror. Hickeys all over my neck, chest and abs. At this point I'm very confused, cause I had not gotten with anyone that night. I remember going to sleep very clearly even though I was drunk, I wasn't black out. I look around my room and I find a condom wrapper open, I didn't find any used condom though (She took it? Possibly to hide it?).

I call one of her friends the next day, after I slept over it and processed what happened and he tells me she told her best friend we had sex. That shook me.

For about 6 months I wasn't able to have one night stands, I wouldn't trust a girl I didn't know to be around me. Even know a year later I still find it very hard and whenever I do end up having sex it's always with someone I built some rapport with and am very comfortable around. Which is a complete turn around of who I was before that event. I was completely broken, I used to cry myself to sleep some nights, I've never felt so gross. Eventually I started getting better, that is until now...

I finally told my friends about what happened and why I had that sudden chance of personality. They laughed at me. I got comments telling me I'm a guy so I can't be raped, comments saying "so what?" As if the fact that it ended in sex and I should be thankful for. And even to people straight up stop being my friends because they were friends with her. I never confronted her because I cut her off my life and wherever she goes I just can't be around.

I just needed to get this out! I cut all those people that reacted that way out of my life, and I hope I made the right decision, it made me lonely right now but it's definitely better than being around people who belittle this situation that fucked me up so much.

EDIT: The response here has been overwhelming good! I'm so glad I decided to post here, everyone is been so supportive. Thank you so much, I wish I had the time to reply to each of you individually and say thanks. I've booked an appointment with a therapist to talk about it since it seems like a great idea. Again, thank you! It means a lot me.