I know that horses are not humans, but they are able to offer some short term comfort every once in a while. They aren't going to hold your hand, but a nudge is their equivalent.
I had our quarter horse mare, Cookie, up at my boarding stable. I had been having a really bad day (probably work and boyfriend-related stress), and it was late, and no one was at the barn. So while Cookie was eating, I went into her stall and sat down along the wall to have a good cry. Cookie, a mare that really doesn't like humans and isn't particularly cuddly or even friendly, stopped eating, and came over to me. She gently nuzzled my head, stood there for a few more seconds, then walked back over to continue eating.
I think horses are capable of more emotions than we realize.