Advice on avoiding future awkwardness when I run into the girl who turned me down (good reason she’s taken) in the future?

Anonymous
I had my eye on an attractive younger woman at a local CrossFit gym for a while. She drops in sporadically vs where I am more consistent. We got in small talk and I got good vibes from her. But it wasn’t an easy place to get a private conversation in since it’s smaller and lots of people are around.

She’s very attractive, in grad school and approachable. We had small talk probably 4-5 times before I finally went for it yesterday and asked her if she liked to get breakfast. She smiled at me and said “thanks but I have a bf”.

I knew that might be likely so it didn’t bother me at all. I could also tell from her body language she was most likely telling the truth, a bit flattered and there wasn’t a hint of “you creep” reaction at all. I was slightly disappointed but she handled it the best way possible.

It’s been a long time since I’ve approached a woman directly like this. Covid and dating apps has unfortunately been the way to go. But I felt proud of myself for having the guts to ask. I figure you miss every shot you don’t take.

However the crappy part is I will most likely run into her again. I plan to keep friendly and small talk. But I hate that awkward feeling especially when I am in a gym, work, etc. trying to get something done.
Advice on avoiding future awkwardness when I run into the girl who turned me down (good reason she’s taken) in the future?
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