H: Do you want to be here or are you coming for our D?
Personally, I think it is a mistake to put your daughter in the middle. What if your W said she wanted to be there or going there for the D? You already took a stance on her staying out of the house, so why even ask her that kind of question?
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H: Go to IC. Do it for you or our D.
Neither do I understand why you would tell her to go to IC for the daughter.
I suppose the good news is that you can recognize where you weakened. Next time, try to avoid such statements.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!