It is good your T is being open and honest with you.
Just another option if it is possible, you could start seeing the new T, but still see your old T at the same time - especially in the beginning because it will be hard for you to begin with a new T because change is very hard. After a few weeks you can decide what you want - seeing both or either one of them.
It is scary to start with a new unknown T and stop seeing the old T immediately - because what happens if you don't like the new T, or just don't click? Then you feel vulnerable with no one to help you, but if you keep a few appointments with the old T it might help with the anxiety of changing.

Good Luck in your decision making