Ha, Melba, they are all given a sign for their desk that says "Do Not Care"!
My first T operated in a very emotionally detached way, which I typically interpreted as not really caring. He didn't have an emotional investment in my choices (quit my job or work it out?) the way my spouse does. Because I didn't have confidence that he really cared, it meant I spent a lot of time trying to provoke a caring reaction, or find evidence that he did care. Argh! He was careful to tell me that he didn't think about me between sessions, for example. Except I was emailing him most days, so how could that be true??
My current T is more emotionally present, gives me a hug as needed, and generally expresses herself in a way that makes me certain that she cares about me and my situation. As a result, I barely give it any thought at all, her care and concern are a given and I don't have to put energy into that element. It's so awesome!