I think it would be helpful to maybe bring up some of your concerns about therapy with your therapist. She would probably be really understanding and try to help.
I have a BA in psychology, and with my studies I've learned that a large part of the healing comes simply from that therapeutic relationship--that safe place that you're talking about and the healthy attachment you form with the therapist. That is probably the biggest contributor to your healing from therapy! So I think it is good that you are forming this healthy attachment with your therapist.
It's also good that you are thinking about not wanting to become dependent on your therapist. Maybe you could talk to T about that as well...and ask for help for forming other healthy relationships so you have more than just T.

just a thought. hope this helps.