I have never had to deal with something like this or someone like this and because I have not had to deal with someone like her I feel like I am constantly trying to CYOA.
Well, no...you didn't HAVE to deal with her. However, you were certainly more than willing to deal with her when you got nekkid with her.
Okay, after reading this entire saga I think I can safely say that you like to play games just as much as Mom. You come across as extremely passive aggressive.
EXTREMELY. Stop being a wimp. Parent your child. It's not up to the visitation center to tell you how to be a parent to your child. It is up to the visitation center to supervise and note that you are or are not a danger to your child. That's it.
I once had the same arguments with my ex. He kept saying that I wouldn't allow this and I wouldn't allow that. He was so put upon and elicited so much sympathy. The truth finally came out that he never even bothered to ask me or anyone else anything about her. When I sent him pertinent information about her, he refused to accept the mail. There were other serious issues involved, but on THIS issue alone...from the tone of your posts and your endless excuses and whining and you depiction of Mom...you sound just like my ex.
So, here's my advice. Grow up. You have a child now. Only that child gets to act like a child. YOU need to act like a competent adult who is capable of figuring out that kiddo might get hungry when you are with her. If you have to be told that specific info, then I can clearly understand why you must be supervised. (won't even get into the death threats that,
apparently, she caused you to issue.)