I bit my lip after the kiss...is that gross or weird?

So I went on my first date ever and it went well. I've never kissed before so I have no idea how all this works but at the end of our date, he was walking me to my car while we held hands and he gave me quick peck on the lips. I was surprised (not upset) but I didn't kiss him back. My lips were flat, if that makes sense, because I wasn't expecting it...but I did close my eyes somehow. Anyways, after the peck, he moved back and I bit my freaking lip. You guys, I'm facepalming. I've heard that licking one's lips after a kiss is gross so I didn't do that (I think 😬, I hope) but I accidentally, unconsciously bit my lower lip. Is that gross, weird, a no-no?