Yeah, you can't select tufts or markings on the deer model. So it's not just you.
But the head marking... I don't know what the purpose was exactly, but it's supposed to be there. I think it was in case some people wanted to create a character that resembled a "slender deer"?
That's what I've seen many people do.
This is an already known bug. The deer has no tufts, while the coding says otherwise.