Maybe it is important for T to see you when you can't hold a conversation. I know that sounds weird, but sometimes I think we try to hide exactly how we're doing. But, maybe if someone sees what's really going on, then we get the help we actually need from it. If they always see us when we're okay, then we only receive a lesser version and maybe not exactly what will heal us.
It's just an idea.
I'm sorry you're having such a hard time right now. I do hope you start feeling better.