Olivia, no my therapist does not accept e-mails. He has an answering machine available if I need to call, and then he will phone me back later that day. I have only called him once to talk, not counting when I had to call to make or cancel an appointment. The time I called him to talk, our conversation lasted exactly 1 minute and 19 seconds, according to my cell phone.

I am actually glad my T doesn't allow e-mails, because I think I might be tempted to use it instead of learning to express my deepest thoughts outloud with him in session.
My guess as to why my T doesn't allow e-mails (besides the above) is it sucks up too much of his time. You pay for 50 minutes of his time with your fee, not for extra time for him to spend reading and responding to your e-mails. I hope that doesn't sound too harsh, but I can totally relate to this. At work I spend way too much time writing and answering e-mails instead of doing "real work."