I was terminated with my therapist and given a referral. It was up to me to make the contact the therapist. The therapist that terminated did call to see if I'd booked with the other therapist a few weeks later, because I had been unsure about what I was going to do.

You can have one therapist talk to another, but make sure you talk about this and set it up before you finish treatment with your first provider. My previous therapist was supposed to talk to my new therapist, but she never did. I should have insisted on it before the end of our sessions, but I trusted her to do what she said she was going to. You don't HAVE to let them talk though. Sometimes it's easier if they don't pass on their obvious prejudices about you to someone else. Thankfully, my new therapist was interested in knowing me for myself and not what someone else thought.