I like the answers; they make a lot of sense. I hope I'm not hijacking, but I too wonder if I am attached or attracted to my T. I think we can have both. I know I'm attached to her, and that's why I'm attracted to her, I think.
I would not look at another woman and think about liking her the way I do about my T. Yesterday, at my session, I felt both. She looked good, and I was aware of her in a way that made me close my eyes and not look at her. The "in love" part was there and I didn't want her to be.

So, was I attracted to her because of the transference and my attachment, or was I merely attracted to her? I don't know. If I saw her on the street, I wouldn't be interested because I'm not gay. So, it must be the attachment causing the attraction, right?
In any case, it is what it is. Whatever feelings you have for your T, Squiggle, it's best to accept them and not label them. I think they are normal.