With a rifle, it was my second year before I got a shot. About age 14 ('77), a dink 3x3 at 125 yards with an iron-sighted 30-30. Dropped him in his tracks.
With a bow, just my fourth hunt ('81) before a little 3x4 whitetail wandered by and I double lunged him. I was 18 at the time. That said, I'd been around hunting all my life and had rifle hunted before so I wasn't a complete rookie.
First traditional bow kill was Oct. 25 of '88, my first season with a Schafer Silvertip. Passed up a number of them before a nice 4x5 obliged my Zwickey-tipped arrow.