A few times I have felt hurt by something my T said or did and have told him so. He has always been receptive and we have talked it out. Sometimes he agrees he made a mistake, other times what he said brings up old hurt that isn't really about him.
My T says that all emotions are welcome in therapy, positive or negative. But I can't really imagine raising my voice or telling him I hate him. I don't think he's uncaring or incompetent so I wouldn't say that either.
We don't do out of session contact, angry or otherwise. Sometimes it is hard to be angry and have to wait a few days to express that, but I do better hashing things out in person.