I often write emails to my T, but I've never sent them. Once I printed one out for her to read in session, and I think that was helpful because there was a lot of pertinent information in it. But normally just the process of writing has been beneficial for me, and once I type my thoughts out (to her, in my imagination) I feel no need for her to actually read them.
I know she has an email address because it is on her business card, but she's never mentioned if it's "okay" to email her, and I haven't asked because so far it hasn't been something I've felt I've needed to do. Same for texting. She's never offered it, but then, I don't like to text so it isn't something I would utilize even if it were available.
She does often tell me to call if I need to. I love that I am able to do this, and have at times called as frequently as once a week, but lately it's been lessening. I don't know if this is something she offers to every client, or if it's because I am a particularly batty basket case.
She never outlined a contact "policy" with me. In a way I'm envious of those whose Ts have been so clear, because it would be nice to know the rules, but on the other hand, the fact that she's left things vague makes me feel a bit more trusted, which is nice in it's own way. She's always been very sweet and helpful when I call.
I'm sorry you are losing a T that you have worked so well with, and hope you are able to find one that is a worthy replacement. If you feel having email contact is important to you in a therapeutic relationship, perhaps taking that feeling seriously and looking for a T who is compatible with it is a good idea?