You have to wonder how this came to be. I would suppose the deer was wading or swimming from point A to B and the alligator took the opportunity to grab a meal.
Those sneaky aligators!
It kind of reminds me of those old Johnny Weissmuller "Tarazan" movies I used to watch as a kid on Saturday mornings. Every movie seemed to have at least one scene where a boat full of natives was in hot pursuit of Tarzan as he swam across a river. Something would tip the boat and the whole crew would go into the water screaming, then they would cut to a scene on the shore and a pack of crocodiles would jump into the water. Then the fun would begin with the natives thrashing about, as large rubber crocodile props would be shown rolling around in the water eating the screaming natives. I eventually realized that it was the same shoreline scene in every movie that they were using.
Oh, and Tarzan always got away.