I'm not exactly sure what transference is, but I have a general idea. Is it possible to have transference with one t about feelings of an old t?

I have been seeing a therapist intermittently to whom I was referred by my old t. As the therapeutic relationship has been sporadic and costly with little progress made, I am beginning to question my reason for being there. I really like this t but I worry that it is for no other reason than that she was recommended to me by my old t and I miss my old t. Every time I see this new t, I am reminded of my old t and that makes me feel like there is still a piece of her with me even though we have terminated.