I think the issue of trust and the issue of replying to emails are different.
It takes a lot of time to open, read, think about, reply and send an email. It's not so bad if a T only has one patient, but we all know that isn't the case, right?
I'm glad she allows you to send emails, and maintain contact. You probably need to work on allowing that to be enough, a good contact and informing her of what you are going through at the moment. To expect a reply to emails is going a bit beyond, since she isn't paid for that and might be doing it on her own personal time, you know?
Why not discuss this in session?