If it's at all possible, can you do both? (Maybe cut back a bit on the frequency with her to also see someone who specializes in GI stuff?) Or can you find other ways to connect to the trans community for support?
It seems like if getting a letter isn't really your goal right now, and if you feel educated enough on your own to know what you need to talk about, you might not even need to speak with someone else at the moment. I mean, it's complicated, but it's also mostly an identity thing, and I think a lot of what people go to T for is identity related, one way or another. So while she might need education on the specifics, if she's got good skills, they should translate, I'd guess.
The only downside is that if getting a letter suddenly feels urgent, you'll still need to take additional time to work with someone else if you haven't already begun that process. But while I don't know for sure, I'm guessing that any new T you'd be working with would be willing go talk to current T, and that could speed up the process significantly.
Good luck! Sounds like you've got a big journey ahead. I'm so glad for you that you've got a great T to help you along the way!