That doesn't sound like a disappointing first day at all, one because you got to hunting, two because you saw plenty of deer, three you got a shot off and four, I don't think you did any harm to her at all and you technically didn't hurt her. You said yourself, 2" of penetration and in the shoulder, you probably never made it into the body cavity. Chaulk one up for a misplaced shot and be happy you actually didn't lose her.
That's a pretty damn good day to me, here's what I got to do.

Except for about 3 hours while my wife helped trim around our garage doors in preparation to log side it but even then I was this way.
Seriously, shake that one off. She's fine and you had a great day.