I've also had 5 Ts and I connected with each of them. Not in exactly the same way, but in a good enough way. When I decided to see my current T, I didn't think I would connect so deeply but I did. I love her, but I know I could connect to someone else too. I have seen the hospice social worker about 5 times, and I really like her. I feel connected though we don't really "do" therapy. I think developing a close connection to one T helps us to be able to develop other connected relationships more easily. I think you'll be fine.