Don't feel ashamed to do the right thing. Though it was small, it'll eat way better than any "trophy" buck.
I used to work at a bar and late one night the manager came in and pulled me aside. She had come across a car-hit deer on the way back from the office and asked me if I would go put it out of it's misery, of course I said yes and took off. When I got to the scene a decision had to be made, do I use the 357 and wake up the neighbors or use the Maglight? The Maglight got the call, did it's job and I went back to work. Upon returning she asked how I did the deed and I told her, she then asked "How could you do it?" refering to killing the deer, I replied "How could I NOT do it?" The subject never came up again.