I think, when I have had difficult stuff to talk about, I have talked about talking for a while before actually delving in.
So in this case, maybe that would mean talking about the fact that T didn't refer to the email you sent or the things you said, and how you found that discouraging/wanted T to be more supportive.
I think this could give T the opportunity to realise that she dropped the ball, and apologise, and/or demonstrate that she is listening and ready to take it seriously.
I usually found that talking about talking was helpful, and can be supportive because you can plan for what to do if you feel upset afterwards. It sounds like you were being very proactive in trying to do that.
I think that is what I would try anyway, if it is helpful! I'm sorry that your T did not respond well. I hope she can make it up to you.