For me, seeing the game I'm hunting for and then 'getting and making the shot' are most important.
As a teenager when my cousins and I hunted together, the motto was "if we're in the woods something is going down. Regular songbirds (robins, blue jays, etc) were off limits but if nothing else presented itself, some unlucky sparrow was going down
Frumious, the best way I know to get over "the shot" being most important is a trip to Africa. It isn't nearly as expensive as it sounds and I guarantee you will see more game in a couple hours than you've seen in your whole life in the U.S.
It makes you get picky about the animal you shoot at and the shots you will take.
Forgot to mention, I also love to reload, and shoot targets, be it paper, steel, or clay birds.