I do email my T and have emailed previous T's without an issue. T has said it's perfectly okay. I always say in the email if I want a response or not. It is a way for me to be real and let T know what I'm thinking or feeling, otherwise we wouldn't get a lot accomplished in therapy because I am prone to shutting down and hiding. And while I have not sent my current T an angry email, I have before with other T's and I understand your need to do that. I certainly don't think you're odd for doing so.

I agree that you need to have a discussion with him about it. My T has clearly laid out for me that my emailing her is okay. Maybe clarify with him and see what he says. I'm surprised that he mentioned other clients do not email him though. I wonder why he would tell you that? From what you said, though, it does sound like he is okay with you emailing and has outlined his policy of not responding on the weekend. Shows he has thought about the issue and has a plan in place.