I'm sorry that you struggle so much, I think it was not a good idea from your T to start a heavy topic just at the end. I don't know if it means anything, but my T did it once too. I just leaned against the wall outside her office for some time but I managed to leave before she would come out; however, I let her know in the e-mail that it was not the smartest idea to finish the session like that and... it has never happened since... Thus, maybe your T was not aware of it? Yes, of course, she could have guess so (especially after 20 years of practicing) but as you mentioned, they are just humans... Thus, I hope that as she saw how much you've struggled, your T will be much more careful and you'll be able to discuss it on Thursday...

Regarding messages - good that at least she didn't respond! I would be bothered by this too but maybe she keeps that in case of the serious emergency? Do you text her sometimes? Maybe you could feel a bit better knowing that if there is a real emergency, she would see your text immediately? I don't know why she does it, maybe it's something worth bringing up to the next session?