My T has mentioned before that certain things with me felt like they come from a young place. It's usually when I'm feeling really vulnerable and upset. I think she thinks that there are, like, pieces of me frozen in the past because of emotional abuse/neglect from when I was a small child. She seems to think those are the most delicate, wounded aspects of me, not that there is anything bad about them.

I could see where wanting email replies could come from a young place, like wanting to be seen and heard and validated when you need it (which is what a kid would want), not waiting until your allotted session time (a type of delayed gratification that only an adult could manage).

I can see where refusing to reply to your emails could help bring your feelings out more in session. There is the whole school of thought that therapists should be withholding and distant in order to draw out transferential feelings. I have no doubt it would be effective, but it would be too harsh and potential re-traumatizing for me, if I were to be ignored like that. My T responds to basically all of my emails and most of my other reasonable requests, which is helping me learn how to ask for what I need and to feel like I deserve help when I feel crummy. This bleeds over into my other relationships and enriches them.

So I don't think you're doing anything wrong, and I don't think your T is doing anything wrong. Ultimately it is just a question of whether he is working in a way that's helpful for you, and nobody here can figure that out for you. I have had the experience of being really, really stuck over a particular issue with my therapist and then suddenly resolving it (for the moment, at least!). But I also understand the urge to end things if it really doesn't feel like you can get what you need from him. There really isn't a right answer here, just what works for you.