I think that any therapist who tells a client the name of their therapist and identifies that as their therapist is the problem - not the client. And yes - even if a client does go knowingly to the therapist of the therapist - their right to confidentiality is violated if the two therapists reveal the client's name/discuss client to each other without the client's permission. I see no reason to blame or yell at OP here.
OP - I am confused - did the two therapists know you knew each of them.