What I find frustrating with this situation is that there was no interaction with you as though you are a capable adult in a voluntary relationship. Therapists absolutely need to set boundaries, but when a boundary needs to shift (from either party's perspective), and there's a desire to maintain the relationship, there should be an opening of negotiations. If a compromise can't be reached, then one or the other has to decide to either live with it or part ways.

The way your T is handing this is very black and white.

My T, for example, allows me to email him. He has a work email. He maintains regular office hours. I am free to email as much as I want but he rarely responds. Most of the responses come at my prompting. I'll write something and say, "I'd like you to respond to this please." Occasionally, very occasionally, he's reached out on his own after one of my e-mails to touch base with me. In each situation they aren't lengthy responses nor do they always come the same day (unless it's an administrative issue that needs to be handled in a more timely fashion).

It feels very healthy. I feel like I can get my thoughts out, he doesn't feel like he has to do therapy by e-mail. On both sides, there isn't a rigid boundary but a more fluid, natural one.

I'm sorry you're having to deal with this. I think she should have treated you with more respect and modeled what it looks like in a healthy relationship to renegotiate boundaries.