It does sound as though moving on might be a good thing, but it might be worth first trying to create some boundaries within the relationship. I suggest this for two reasons:
it may be possible to improve the therapeutic relationship, and still get what you need (note: not want ) from it
it may make the process of withdrawing and changing to another T easier

I could be wrong, but I don't know that it will hurt to try pulling back a bit.

Whenever you go to call on the phone or email, ask yourself whether it can wait till the next session. Really try to do this.
Also ask yourself, is this therapeutic or friendship based? It is trickier to answer, but worth trying.
If the T notices and asks you about you pulling back, tell them you were concerned about turning the relationship into something other than a therapeutic one. If they are a good T, they will be understanding and supportive, and encourage independence.