Hi, welcome to FT.
tl;dr: file a complaint, but don't expect anything.
The TSA is not going to make your life miserable if you file a complaint. In fact, you'll be lucky if anyone even pays attention to it. I'd advise filing the complaint and using your real name.
They should have kept their hands off your kid and truthfully, there's no reason for a pat down of anyone. I've been where you are, with a TSO insisting on patting me down on the basis of unopened baby formula. Why one has anything to do with the other is beyond me. Obviously, your parenting skills are none of her business.
Where you're going to lose sympathy here is when you started swearing at the TSO and insulting her. Even if they were to pull a tape to see what happened, you wouldn't come out of it looking particularly good.
Mike