Wisey not to put too fine a point on it - she's being a typical self centered teenager who is taking advantage of your situation.
Put your foot down hard - now, before she gets used to having control!
When she says things that are laughable (go on holiday/skiing/america) just laugh and ask her who she thinks she is (unless I'm wrong and these are things that before her Dad left would have been normal for her birthday??). Tell her she can do what other 16 year olds do - have a few mates around (tough about the alcohol), go out with a friend or two to do something etc.
D wants to take me on holiday - that's nice, I want to take you on holiday but unless we win the Euro it's not happening. He isn't even paying the bills at the moment so I'm not entirely sure how he thinks he can afford to go on holiday.
I've found a summer school with Man U - Do you really want to train with those gimps that's great love, what are you going to do to raise the money to go? Babysitting pays pretty well.
you said you'd take me to play football with a london club and you're letting me down again (in response to me saying we can try our best to do this but her studies and my responsibilities plus what her D and me can realistically do to facilitate this have to be considered along with that) If you continue to speak to me like that I am not even going to bother looking into it for you. I told you there are things to consider and we need to find a club willing to take you on first.
Don't feel silly or guilty for saying stuff when you were stressed (and she was putting you under more pressure), just try not to fall into her traps again! Yes you need to think before you speak - but christ, you aren't alone in that and all you were trying to do was make the pill of not going to the Academy sweeter and she shouldn't have needed that and WSTBXH should have been supporting your decision not stirring the fucking pot!!
Bottom line is she's 16, she's playing you like a fiddle - they all do, but you have to stop walking into her traps and it wont kill her to be told she bloody well needs to grow up, stop being so self centered and think about you for 5 minutes.
It's easier when it's not you on the roller coaster ((HUG))