Good documents. I find the backgrounds in both distracting, but maybe there was no other way?
With truly wild animals, as opposed to captive or habituated animals, you have very little leeway to work with. As for backgrounds, you get what you get, which is why most wildlife photographers work with long, fast lenses for selective focus. Whitetail deer in the wild are always looking for something to run away from. Not only do you have to control your silhouette and movement, but your scent cone as well. Most wild deer are gone at the first whiff of human scent. Almost all of the massive bucks you see on magazine covers are photographed in parks where the animals are habituated to the presence of humans and no longer regard us as predators.