Vent session

So today my a MIL decided to take our daughter with her without asking us but we let it go instead of arguing we decided to go on a date. It was great best day we’ve had in a while. But we get back to the house and she says “who told yall I was babysitting” mind you she took our daughter without asking or telling us where she going so obviously she just volunteered to babysit right? Then proceeded to complain about how I did my child’s hair and CUTS the hair tie out because she claims it was too tight. And idk why but she’s always trying to have a reason to put her hands in my child head. I need some advice from the ladies that have told their man they don’t want the terrible ass mother apart of the child’s life because I’m at the point where I cannot take it anymore. She’s getting to disrespectful to the point where my own family see’s it and I know some of you may think we are bad parents after not having a rebuttal to her just taking our child but after realizing the mother didn’t his father did let us know and updated us while they were out.