Well I would go back to that a 3 year old should not make these decisions. If you two are apart, you two adults need to make what ever schedule you make. irregardless of daughter saying "I want mommy" or "I want daddy". She should be able to call when she wants but not go back and forth on a whim and your wife should not be encouraging this. She seems to be using her as a tool to fight you with, that is plain wrong.
That is the problem. D3 initially said she didn't want to spend the night when I picked her up because my W told her she was not going to. While watching fireworks, I asked her if she wanted to and she said, yeah. Then when we are heading home, she is tired, crabby and I told her that she is spending the night and she said she didn't want to. She fell asleep a minute later.
My W is very co-dependent on D3. Like I said, she always had her 24/7. There is nothing else for her to fight with. I am not arguing or begging for her to take me back. I would LOVE to be with her, but I know that pressure will push her away. She does use D3 a lot. I don't know how she is going to stop loving me, she sees me 5 times a week!
Also - no offense........but I think that you shouldn't have asked D if your W had already said she wasn't........
Don't put your D in the middle
....Understand, that I can't, not be what I am I'm not the milk, and Cheerios in your spoon ~ Avril Lavigne ~ ..."Nobody's Fool"...