Hi,
To achieve this trophy you need 2 things:
1. Arrows
2. BOW
Be sure to set your game mode to easy/normal/hard!
When the night begins search for a creeper and kill it with your bow. After a few seconds the trophy will pop up. It's quite easy.
The trophy will not work if you shoot an arrow in the creeper, and the creeper explodes. You have to kill him with your arrows.
Good luck!