You seem to be putting a lot of stock on a missed text message. I've done that myself where I had several texts to look at and somehow missed one of them and didn't even know I missed it (which I guess is the definition of missing it). It wasn't that I was intentionally ignoring the text I missed; it was just an error (for lack of a better word) in scrolling through my texts.

She DID reply when she DID actually see a text from you. So, how is THAT poor behavior on her part? She has offered you an appointment. How is THAT poor behavior? How is this "playing games" with you?

Seems like much of this is your perception and expectation of being rejected rather than the reality of what is really going on. Part of that screwed up thinking that depression leaves us with. How about making this about you getting help from your T rather than making it about somehow being wronged by your T in you mind? You are only hurting yourself right now by putting up these barriers where there really don't seem to be any.