@Catcakes This was the first time I've ever called TTT. Given that the only words I could get out to the receptionist were "talk TTT" and I hung up after she said TTT has gone home for the day, they won't even know it was me.
The rule with TTT is that I can email once a week. She is flexible though and I get the sense that if there was an extreme crisis, she would respond to a second email. The other week she phoned me for the first time because we had to talk through what she was going to do about the fact that someone from a particular mental health service had thought it appropriate to contact her to see if I'd appeared at my appointment, rather than cont*ct me directly to check if I was still alive. It was a bit funny, given that we had discussed in our appointment that I would respond if anyone bothered to check on me and thus she and I didn't need to talk about what she should do if someone contacted her. It never occurred to either of us that they would contact her before trying me!
I wouldn't cope with a no-contact-between-sessions therapist. I really don't understand how that is supposed to work. I guess because TTT is so attachment-focused, she super gets that need for contact. It's also why she made the squiggles for me to play with and drew me a picture of a turtle. These act as what are called transition objects - i.e. as a way of keeping a bit of her with me.
Look how fast my words came back after @Former-Member appeared! That is the difference between flooded terrified lizard brain turtle and feeling-safe-again turtle. 
Super big thank you for caring about me @Catcakes. I'm sorry I'm in more of a taking than a giving state at the moment.