If the social worker isn't relevant in any way shape nor form why mention it, why tell her dad to ask the social worker. The op clearly doesn't need to say, but she put it into play, so it's fair enough to ask what context this plays and why it's being raised. I think everyone knew the social worker is not involved due to the ops work. In addition she calls the social worker her social worker and refers to serious consequences if she has anger management issues round children, so it's valid in terms of context, her call if she wants to discuss or not.
However, when someone you have a good relationship with , who you trust and who is normally sypportiv suggests you have anger management issues with uour kids then it's better to try to understand that persons perspective, not to start yelling and threatening to cut him out her and her children's lives if he didn't change his point of view.
In addition the fact she feels her boss is lucky she wasn't physically assaulted is possibly indicative of deeper issues, but as the op won't clarify what the boss did, it's hard to make any assumption past it's not the best way to handle situations to cry, shout and feel like punching people in the work environment. Others may feel crying, shouting and having to restrain ourselves from physical violence in the workplace is exactly the way to handle ourselves, and we are all welcome to our differing opinions.
As for me, I think the op is stressed and managing that stress can result in things like anger, physical aggression, crying and shouting.