How to handle seeing someone who rejected you?

Anonymous
Hi there, I have social anxiety and despite being in my twenties I have never asked a girl out in my life, not even once. A few months back though that finally changed after seeing a girl in a place I regularly study from time to time. We would make eye contact on most days we would see one another across the room. Long story short, I thought she liked me so after many days of trying to build up confidence I asked her if she'd like to hang out. She politely declined and that was fine.

Personally though, I felt humiliated and heard so many people around me laughing at my expense, the girl even had to leave the room and sit somewhere else I appeared to have made her so uncomfortable. Not so long afterwards I just had to get out of there myself. It probably didn't help that the interaction between us wasn't quite as smooth as I imagined it would be in my head. I was a nervous wreck, stuttering and can't even remember my exact choice of words to be honest, they were all over the place.

Regardless she declined and I accept that's O. K. I have gotten over the shoot to my self-esteem and hold no grudges. She wasn't a mean girl in the slightest. Problem is now is I want to go back to the place I once studied, as I haven't went back once since then, and I miss studying there. I am ashamed to admit that despite being a grown man I have been terrified of returning incase I see her. But I feel like a shell of who I know I am deep down inside and won't let this weak minded nonsense dictate my life anymore.

So basically, how does one handle a situation like this. I understand I should be nice, but by doing what? What would a girl who sees a guy she once rejected think when she sees him again? A girl who no doubt told her friends about such an awkward interaction and am sure she probably doesn't feel 100% comfortable around me. Do I just ignore her? Say hi no hard feelings? Smile and nod?

Thanks for reading and I appreciate your responses.
How to handle seeing someone who rejected you?
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