This is really following script. I'm not chiming in because you are getting good advice from Gucci, Sandi, and Puppy. You're a stronger man than me; I'd have probably caved and went with the Tuesday night thing. Good for you being strong. I would like to say that you don't want to give up being a nice guy....so even though you have made other plans or whatnot, that you still have to respect her feelings. I think it would be right to say, "I'm sorry you feel that way."
I would like to say that you do need to be gone the night you said. If she comes by and finds you there....?? Probably won't help.
I do think that you are going a long ways towards establishing a more workable relationship. Up to this point she's kind of been in a place where she determines if and when she comes back...it's just a matter of informing you. Now, she might actually have the idea that you might have some input into this decision...that you might not be there with open arms and she might have to convince you she's worth taking back. She's still quite young so I think what appears to be games is what works best on her.
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer