I COMPLETELY believe you in this being incredible, awful anxiety -- so way to go in setting up the meeting!! Ugh it sucks that he noticed and asked you that question, it really, really, really does. I would feel exposed and ashamed and afraid of doing it again, which would make it worse if it happened again, which would make me avoid situations, and then.. this is the anxiety trap.

But I think you can stop at exposed and ashamed, googley, and let those feelings be. "I feel exposed and ashamed and anxious, and I am going to continue to give my all to my adviser and all of my courses." I think you can keep moving forward holding your anxiety and carrying it with you, like, oh well, here is this ball and chain, I accept it as it is, since I can't take it off, even though it really sucks that it exists.