My favorite time to hunt is early morning, watching the day begin, from black to grey to color, and the woods come alive with animal movement. The sounds of the forest: wind, birds in the trees, morning dew dripping from branches, acorns dropping, rustling leaves as something approaches...
If I kill a nice deer than that's just icing on the cake.
It's also about sharing the experience with friends that help you drag the buck out of the woods and get it back to camp and up on the skinning pole.