Maybe she didn't know. Maybe she has rarely emailed regularly with a client and so didn't really know what it would be like, how frequent it might be, and how much of her time it might take, etc. It sounds like she really wants to be there for you, but realizes the limitations of her schedule better now. A person can seem to "change their mind" but really, they just have new information now and so come to a different conclusion. I don't think it means at all that she wasn't telling you the truth at the outset--she really did want to email you! It sounds like she is really trying hard to find what works well for both of you.

I have a journal I write in and don't email my T (except about scheduling changes). Sometimes I write something in my journal that is important to me at that moment but after a day or two, or by the time of my next session, it isn't something I want to talk about with T. I've kind of "moved on" or processed it or something. There are other things that maintain their importance for the full time between sessions and I may bring them up face to face. Rainbow, I wonder if you didn't email your T, but wrote these things in your journal, maybe when your next session happened, some of the things wouldn't be pressing topics for discussion anymore?

I'm just wondering how it would feel to me to send T emails that we had agreed he would not respond to. Would it be that much different than my writing in my journal? (Is what I would like about emailing him getting a response or is it knowing he read the message? Or maybe both.)