Not saying it doesn't need culling but.....
If you search through the site there are numerous reports of three (and even two!) legged deer that have "recovered" to lead pretty normal lives. We had a three-legged roe doe that was around for several years and bred successfully. Deer are remarkably resilient animals.
I would have said that she was urinating/scent marking in the first photo, rather than resting on the stump of her rear leg, which maybe makes it look worse - in the second photo she seems much more balanced. As I say, just speculation on my part.
willie_gunn