Gracey -
You didn't do anything wrong. I can pretty much guarantee you that no one else in your office is even thinking about it right now. People sometimes want to try to be funny in meetings - especially around new people. They just want to look clever and kind of break the ice. It doesn't have anything to do with you.
Honey, you must stop feeling bad about everything that happens. You made a comment that was what you really felt. You didn't do it to try to brown nose.
You lightened up the meeting. You gave people a chance to laugh. They weren't laughing at you.
People don't make you feel bad for saying something. You make yourself feel bad. They can't make you feel anything.
L