My T had 2 email addresses . One for family/friends and one for clients. The one for clients he only checked during work hours. He did this to prevent burn out. I hated it, but I DBT'd myself into understanding (emotional mind was saying F his needs!).
I also think he didn't want me to over use email. His replies were BRIEF. Although I think going overseas, that would change. Of course, he'd likely bill me per word like a dang typist!!

If possible he'd bill per thought.
I hope you hook up with him soon. Send him a
pajama gram . See if that wakes him up!
Slippers