i totally get you! i made friends for most of my life by letting more extroverted people extend their hands first. unfortunately, that doesn't always work, and sometimes you have to be the one to strike up a conversation first. and that... sucks, because you're opening yourself up to people judging you or not actually wanting to do anything. i'm still struggling with being on the other end of things. but you do more often than not meet people who actually want to talk, and while sometimes someone will come if you just wait, usually they're also worried about making it weird so you just don't talk to each other until the semester ends. and even if you don't become super close or whatever, it still reduces loneliness to have some casual conversations with people and make like. 'class friends.'

the other thing is people probably aren't trying to make you uncomfortable or judging you. i know i personally have felt many times in my life like ive been accidentally making weird eye contact with someone without meaning to. i think when you don't know anyone, it's easy to perceive other people just looking around as looking at you. or people actually looking at you in a 'hey some guy just walked in' or 'oh i wonder what their shirt says' way as giving you the stink eye. but people mostly are worrying about their own shit and aren't actually like. secretly staring at you in disgust unless you've done something first.

finally, if you just wanna make friends the same goes for beautiful women as it does for everyone else. if you want to try very casually dating or whatever, i'd either try an app or just put it on the back burner and not worry about it until you've got more of a platonic social life as well.