How bad should i feel if at all?

I got a echo 1 stag mod4 for my bday. There was a bird on a power line in our pasture so I took some shots at it... now remember... its an airsoft gun!!!! I hit its wing... it fell. Iv shot plenty of birds with it. They were all fine, but thus one bird... the bb went all the way through his wing. He couldn't fly. I felt soooo bad. I putt myself in his shoes... I felt so bad.. what if someone shot me in the leg so I couldn't move. Tore me away from my life... how would my family feel? The bird was suffering... my lil bro was yelling at me to shoot it in the head to end its suffering but I didn't think it would go through. Atleast 20 minutes past. Finally it was time for dinner... my brother wouldn't chop its head off with the shovel so I took the shot. Itbwent streight through his head. No problem... he squirmed.. the. Picture is stuck in my head... the poor bird... I am pretty sure that he's in a better place. The blood shot out every where... I know it went streight through because i saw the blood gush out both sides of his head... like a beating heart... I actually cried.. im a 16 yr old man. Am I too soft? Did I do good? Or bad... yea I kknow its just a bird... but a plastic bb killed him!!! And I let him suffer for 20 minutes!! Hunting would be completely different.... the shot that hurt his wing was atleast 80 feet away..