Now I'm going to have to do YOU a favour and include you in my birthday while I WALK ON eGGSHELLS all night because your are a crazy entitled Boloney
No, you don't.

You don't have to include her in anything. You don't have to change your plans if you don't want to.
If she's going to be difficult, don't include her. Plan your birthday the way YOU want to. Do not try to bend and twist and break your back trying to please someone who isn't please-able. Like Inquisitive said, maybe offer to do something else, like coffee or a movie or something.
After your birthday, maybe consider whether or not you want this person in your life. She does not dictate what you do for your birthday unless
you want her to.