Welcome to PC!
Ts know that therapy often makes things harder before it gets better so I think this is pretty normal and something your T would be used to. I also think that Ts have such good boundaries that they will tell a client if they contact too frequently, so I wouldn't worry about it. Easier said than done though, I know! lol
I don't have contact with my T between sessions, but I find that journalling helps if I need to get something out. Maybe if you want to reduce your number of emails, you could try it and just write for you?
*Willow*