Got ready for my run and asked my W a question. She just walked away and went to the bathroom. D looked at me with a questioning look like "wow, why did she act like that". I didn't say anything, just asked her to get back to work on her homework and headed out for my run.
Come on man this is part of the problem. Don't let her treat you like that, especially in front the kids. Makes you look weak and teaches your daughter how to treat men in future relationships.
You make it clear to her that you asked a question and you would like an answer to the question.
Have you done your home work on boundaries?
That's great news about your daughter. She is going to need you to be strong and centered for her!