Hard to say....if I had to guess I would say car accident. The way both pics show the hoof dragging I suspect the front shoulder is broken and displaced. I don't think an arrow or a buck fight would generate that sort of an injury....but I could be wrong.
Deer are tough critters. I shot a buck this year that was missing the lower half of a rear leg and it was healed over so he had survived for some time like that. I hate to see it all the same...its a cruel world out there.