Pushing away the closest people is most definitely a hallmark of depression. At least, for a lot of people it is. I've done that to my significant other when I've been very depressed. At some level, it ends up being kind of a test. When I've been very depressed, I've gotten it into my head that I am not really cared about. I've needed for my S/O to refuse to be pushed away. I did not intend it as a test. It just ends up being that. I would advise that you let you flat out tell your husband repeatedly that you are there for him regardless of how much he seems to be pushing you away. At some level he will probably welcome the reassurance, even though it seems like he doesn't want that.

Depressed people do not excel at being logical.