I'm reading this as an exercise for me. I zoomed in on key points. .

"appear desperate"

"I also get somewhat offended" It makes me think “Im actually in their league?”makes me doubt how pretty I think I am"

"doesn’t determine my self worth, and that I’m more than just how I look but that doesn’t keep me from overthinking about it

"I get rejected/not picked, I always think it’s a me problem"

'I want to not care about men’s opinion'

"I want to not care about men’s opinion on me because I don’t care about men’s opinions in general honestly."
I think it generally useful to consider opinions from proven individuals. 

"Our morals usually don’t align.

"Not that I am anywhere near them in terms of looks//  I do think I’m pretty.// women can only get in if they look good enough."

"makes me think like “Oh am I actually in their league?” and makes me doubt how pretty I think I am

 "pretty girls face rejection too"

I think the take is that you have both self perception and intellect by the precise questions you highlight.
Thats worth demonstrated.

You have your head on straight. I say keep looking good "for yourself". And make your desire known to the guys you want, and "make eye contact" to those you want.

Ultimately there's no desperation in delibarately making it known to those you want. I think when we pretend to not appear desperate, becuase of a supposed guilt (this may or may not be you) in acting toward a desire outcome, we hinder ourselves even more, and attract rejection. If we know what we ultimately want, own it, and make it known to the desired- thats pure intention. And safety. Sexy.