It's perfectly normal to become attached to your T! And in the beginning, those feelings are categorized by the only other relationships you have to draw upon: parent, sibbling, friend, etc...
What your T helps you to find is that this is a brand new relationship, unlike you've ever experienced IRL, and it's MORE than parent, sibbling, friend... it's special and wonderful... your T becomes your confidant, your consultant. You are paying this professional yes, for expert advice... but the empathy and real "therapist's love" is yours too!
Don't be afraid to discuss this... as developing a healthy caring about and with your T is needed for the certain amount of "transference" that helps you heal. [therapy is work]
Come on now, you really wouldn't want your T to be your parent or sibbling or friend as you have already, because something must have gone wrong with those relationships or you probably wouldn't be in therapy! (in general, I know not so for all of us...)
Honest... it does hurt to admit these feelings...and it takes work to mold them into the right feelings... but it is SO worth it! Trust me.