"Free" and/or online only (as opposed to ISP) e-mail accounts are not all that secure, especially the very large, free ones like hotmail, gmail, etc. I would not e-mail using those, only a paid/ISP account of some sort. There are lots of inexpensive ISP's that, even if you don't use them to connect with, are more secure and dedicated to security and not "targeted" by people who hack into hotmail/gmail, etc. Get an account with someone like
http://www.isp.com (under $10). I use my account with
http://www.arczip.com; I don't use any account which comes with my cable provider as the cable providers have a harder time with security from "within" (they're on a network and other people on your network/using your cable service for their ISP can hack in easily).
My T didn't have e-mail and I wouldn't use e-mail as the whole face-to-face thing is important to therapy, I think. Having to make some difficult "effort" to call or learn to contain, I agreed with but I wrote actual letters every week or more often, between sessions, I mailed to my T for 5-6 years. I finally realized I was taking away from relating to my therapist one-on-one, the purpose of therapy and put a "ban" on my writing to her for a few weeks to see what that would be like and it was hard/horrible :-) But what I gained from it was much better and I started improving much much faster afterwards.