When I was seeing my latest therapist (for about eighteen months), I never emailed or texted the guy about emotional issues. We did occasionally exchange emails if I needed to reschedule. I've also been interested to see here how many people email their therapists with actual issues in between sessions. It's something I've never done, and it until I joined this forum, I didn't even realize it was an option.
I suppose I assumed it was forbidden by professional protocol. You know, like you get charged every time you call up a lawyer. If you're emailing your therapist with things that would normally be addressed in-session, you're attempting to get free therapy in between the paid sessions. Or that's what it seemed like to me.
I think in excessive calling, texting and emailing that there's an unconscious desire to test the therapist. I can see a client pushing for more communication, for more contact outside the frame of therapy, as proof that the therapist really cares and is not just approaching their therapeutic role as a job.
And some clients do get really panicky in between their sessions. If you need a few words of assurance in between sessions, it's probably okay to ask for and receive that kind of thing on a limited basis. But I think it's inappropriate to regularly expect therapeutic help via text or email in between sessions. If I were a therapist I would feel taken advantage of, and I'd probably have to set a policy if it were starting to be a problem.
I guess as a client I would say, ask your therapist what their guidelines are, and abide by them