w, it sounds like you are struggling with this but there is also a power imbalance in several other senses: they know all about you and you do not know much of anything about them, they are "the expert" so to speak to help you with your problems that you do pay money to see, they are also a sort of authority figure where things get played out in your life reflective of your childhood. none of this means your T cannot care about you greatly within the context of the therapeutic relationship. while having a friendship with a T after therapy is possible it is not likely a good idea for you. there is a book,
in session, by deborah lott, that talks about women's relationships with their Ts you might find interesting. it talks about transference and erotic transference and there are many client/T stories. unfortunately, they don't talk about men's relationships with their Ts so ymmv depending on your gender.
it sounds like this relationship with your T is bringing up some loneliness or longing for more intimate relationships. have you discussed this with T yet? your T can help you to go about finding more friends and intimates and what may be stopping you from seeking that out or finding what you are looking for.