Parenting

Am I crazy or do I have logical sense here? So my mother in law gets mad when I hit my daughter in the hand for hitting the family in the face. I tell her it's not right for her to hit and headbutt us all the time while she is having a temper tantrum. She assumed I hit my daughter because she was having a temper tantrum. What should I do? She is trying to make us seem like bad parents for trying to discipline our daughter. She is like console her when she is crying because I told her no to going or touching somewhere dangerous.