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When I read how you describe it, it seems like a harmless friendly laugh, unless she was particularly brutal about it. The fact that she said "sorry" shows she was concerned about what you had to say, so when she realized you were just saying hi, it may have been more of an "aw that's cute" kind of reaction from her. Seems like you were being too harsh on yourself rather, which threw you off.
I'd probably ask her "whatcha doin/readin over there?" or some type of comfort building question. Since she was interested, she's probably waiting for an opportunity to talk, just waiting for you to ask anything.
I'm new to the community, but hope I was helpful in the least bit.
-Cheers
Huh, I hadn't thought about it like that. It was a little giggle, nothing brutal. Damn, I should have plowed forward. Oh well, leason learned.