LittleMouse,
I believe that attachment to T is the most important aspect of the therapeutic relationship. The loving feelings are normal and will help you to process and understand other relationships past and present.
I feel the same way about my T.
Although you didn't mention phone calls, others have and IMO I don't think you should EVER be afraid to call your T outside of session if that's what you need. As my T has said, if it's something that can wait until we are in -session then he will let me know. He has never said that yet.
So, it's not only normal, but necessary to "love" T.
Sigh. It's beautiful.