Bird of prey, IMHO are really cool. But as a quail and small game hunter, and now more turned wild life photograper, getting that close to a Hawk or a Owl is pretty rare.
As most of my recent close up encounters with such birds has been without a gun or a Camera. But whenever I have had a gun and gotten really close, I have never even tried to take aim or fire, as for me, its been almost a religious moment for me. As I can remember a few cases when hunting quail and pheasent on windy fall days, when sparrow hawks would hoover only 10-15 feet above me as true masters of the air. As there may be nothing prettier than the undersides of a Hawks wings in action.
But maybe my most memorable encounter was when I was hunting a squirrel as he climbed ever higher in the tree canopy. I was close to being ready to fire my shotgun, when suddenly this Red Hawk came out of no where, snached and grabbed the squirrel leaving me shocked and stunned. As the true master hunter won.