I also think that sounds like to much for your daughter. Unfortunately, it's a long and annoying process dealing with the courts. etc. My husband deals with his controlling ex constantly. One of the problems? - She is legally supposed to be giving him the 'right of first refusal' since HE IS THE DAD! But, she hasn't been doing that...It is in the process of getting talked about in court. She will need to explain why she sends the child to a sitter instead of asking my husband first. If this hasn't been addressed, you should definitely bring it up. I know that in my husbands divorce papers, it says right in there that the other parent has "the right of first refusal."
Do whatever you can to make things fair, but overall- the best interest of your daughter. If you make sure to bite your tongue in front of her about comments about her dad, your daughter will catch on to that over time. Think about this: when she's 16, or 18 or whatever age, what will she have seen in you compared to what she has seen in her dad over the years? Being nasty will come back to bite you (or him!) Be the best mom you can be, but be careful not to spoil her. That may show her your'e trying to 'buy her love.' God bless you as you work through this : - )