This all seems very conflict driven and extreme.
Why "run around after her like mad" and then accuse her of being utterly spoiled - you can't spoil yourself...
Why start on a conflict footing with TV-gate and not a conversational footing?
Are you struggling with the change from being a rather over indulgent mother of younger children whom you can do everything for and get the reaction you want, to a teenager who doesn't want to be run around after and whom you're beginning to resent because she now fails to react with childish delight to your efforts to create Christmas magic?
Yes, I have a teen DD. Yes, I understand that everyone is different and personality is a huge factor, but we don't have this kind of conflict and I can't imagine any part of the scenario you describe playing out?
Is the DD you're struggling with the eldest by any chance?
It sounds as though you'd all benefit from stepping down from the territorial scuffles and attempts to assert yourself and control everything. The bending over backwards to create a certain type of Christmas is also a - doubtless well intentioned but misguided - attempt to maintain a level of control over not only the things a parent should be in control of but the inside of your teenager's head - their emotions and thoughts, what they enjoy and the expression on their face.
It doesn't have to all be a fight and the majority of posters falling over themselves to jump on the punish! Punish! Punish! Bandwagon explains a lot of the escalating conflict people have with teens. It's not some kind of gorilla group dominance contest! Teens should be learning to separate emotionally and all the running around after them doesn't allow this. Parents are still in charge in their own house but there's no reason to be in conflict mode rather than talk to them reasonably about simple things like sharing space.