You know what? That is what sucks about therapy. It absolutely is. Thing is, therapists are human, too. They do human things. I work with clinicians, and from the behavior I've seen, this is usually the case:

They talk about you. They never use your name or give identifying information, or give explicit details that they shouldn't be disclosing, but most Ts will talk about you to some extent with the people they work with and the people in their lives. If you do something that upsets them they will talk about you. "Oh my god, one of my clients was so rude to me today etc etc." If you tell them something very amusing they may mention it to a friend. "Oh, one of my clients said something so funny today.. blah blah blah." If you have an amusing habit they may laugh about it, but good-heartedly, like you'd laugh about a friend's quirks. If you tell them a really tough self-disclosure, they may say something like, "I just want to cry. Today one of my clients disclosed some memories of being sexually abused when she was only 6. Hearing about this stuff just makes me sick."

They do care. You'll be able to feel it if they don't. But most really do care. They chose to be therapists, after all, knowing what the job entailed. But they're human, too.