This Trophy was Bugged at launch but has since been fixed in Patch 1.03.
This may seem like a daunting task since Elves are so fragile, but there are a few things you can do to minimize the risk of injury with an elf team. First I would recommend playing a Dark Elf team as they have slightly higher Armor Values than other Elf teams. Then keep creating and recreating a Solo League until your first match is against another elf team (High Elf or Wood Elf preferably). Elf teams aren't as punchy as other team and should help minimize injuries. Most importantly, during the game do your best to dodge out of all tackle zones each turn, so that the only block open to the opposition is their one Blitz per turn. It may be harder to win, but your goal is really to survive the 16 turns. Obviously random things happen but if you are careful and minimize risks you should get this Trophy easily. I got mine on my second attempt.