Bow Hunting for deer is much more sport like as it makes a challenge. Using a gun is borderline cheating, as you can kill a deer up to 500 yards out. Using a Bow you are limited to shots within 40 yard shots, which makes it much more sport like.
I Like both because you have something to choose from... anyways I accept your challenge. Personally I use a gun because I like to make sure the thing is dead when I go up to it. With a bow you have to have more patience and have the right timing ... Not saying I dont like bow hunting it just that using guns is easier for a woman. Thats just my opinon.
Bow hunting requires one to accually have still as stated. A shot must be perfect for one to kill game with a bow, while with a gun, it is almost a sure bet as long as you know what your doing. Practing in the off season should allow one to master shooting there bow so they are ready for the seaon.