I can see why that became an issue: sending her daily emails without her being compensated for that time at all does seem concerning to me, as does the fact that the emails didn't lead to better in-session results.

I always talk about the same issues in email as in session, if I didn't, I think my therapist might grow concerned after a while too.

Still, it's definitely her responsibility to *professionally* not frustratedly, set those boundaries.

Also, you mention ranting at your therapist: no wonder she is bothered. I use email sessions primarily to discuss my issues. I talk about our relationship on occasion, but don't rant at her or speak abusively as a rule.