I believe women are attracted to emotionally strong men.. Men who show "I can handle it for us honey.. don't worry, I'll take care of it"...
Emotional strength in times of stress. When a woman is in times of stress..(and you better get used to that happening often when with a woman because most women are emotional beings) she needs her man to be a rock of strength to lead her through the issue...
When he is emotionally weak (shown by your walking out today which could easily be viewed as a tantrum.) then she loses her attraction..
So, you can't attract her back when you are demonstrating emotional weakness.. By you telling her that you "are worried about the kids this and the kids that" she FEELS it as your emotional weakness in times of stress.....
Emotional strength would be telling and showing her things like..... "Tell me what your ideas are to make this work for OUR kids honey"
Then shut up and LISTEN.. really listen...
It's coming across almost in my view as role reversal here.. She is trying to reassure you that "things will be all right honey"......
You are now in the more feminine position because I hear you saying things the woman normally says... like.. "yea but I'm worried about this and worried about that, and you won't talk to me and I am hurting, and I need closure"
those are normally female type emotions..women aren't attracted to men who demonstrate those qualities.. Haven't you observed that in your life? Women LOVE emotionally strong men in times of trouble...