I know this is an old thread and not even sure it is in use anymore, but I've recently joined amd this was one of the first things that popped up and I've been wondering whether it is worth replying ad I'm sure by now you may jave resolved what ever you were going throigh at the time
But being a fellow introvert and by golly a heavy introvert, I though I would at least extend a hand and maybe if possible try to help.
I have in fact had similar situations as you and one was someone calling me the wrong name when I was at a friends weddings, some one mis heard my name and called me james (my name is Anthony so i have no idea where james came from) but I didn t correct him and asked everyone who came close to go along with it as I didnt want to cause any trouble. Hard remembering to answer to james all night though.
However i did learn that some times it is bette to try and correct someone early as I worried myself. I just tell myself self it is okay to correct as long as I'm polite.
As I said though...sorry to revive a dead thread, but hopefully you are doing alright :)

Take care x