You've taken the first positive step and that is separating the laughter at the answer--because it was funny--and laughing at you for giving the answer, which they didn't do, right?

It's hard in those situations to separate that, but you've done it, now you just have to convince yourself of it. Confirm in your mind that you did nothing wrong or to be embarrassed about. Reconfirm it. Look at the answer and see if someone else had given the answer if you would have found it funny and possibly laughed. Then look at the "ladies" that were laughing...are they immature...are they rude...are they humorous? Try to look at these different things and see if you are able to lower your anxiety.

Well done on answering, btw!!