RE: I just couldn't do it.....
Everyone is diffrent bro. I don't think there is a right or wrong answer. I did have a buddy that had the exact same scenario that you did except he shot the mamma. He said that the whole time he was gutting her, the two fawns were about 25 yards away in the bushes watching him do it. He had to chase them off so he could finish. He swore as long as he lived he'd never do that again because he felt so bad.
No worries, more deer will come and you will get your shot!