Do you think it comes across as neurotic to have to explain one’s anxiety to other people?

So a few days ago through an invite on Facebook, I was invited to a potluck by a friend of mine. We’re not best friends or anything but we’ve hung out a handful of times and keep in contact on social media. Her boyfriend of 6 months was also going, so at first I was sort of nervous to go by myself, thinking I was going to feel out of place. Decided to go anyway, and when I got there I awkwardly said hi to them, then milled around for a couple minutes talking to the people who organized the potluck, and a few minutes later I was overcome with really bad social anxiety. My friend and her boyfriend seemed like they wanted to have time to themselves, so when I left I didn’t say bye. I felt like I was imposing.

Do you think I should explain to her about by anxiety? Or do you think I’m over analyzing the situation?