You are accomplishing more than just introducing her to an enjoyable activity. She is being taught safe handling of firearms. Her safety around guns is magnified extensively now that she understands them and her curiosity is being satisfied in a proper way. If she comes across a gun at someone else's house, she will be highly unlikely to "play" with it.
And best of all, she likely won't turn into a "Mom demanding action" in the future!
If only more people introduced their children properly to the sport of shooting at a young age, we would have a country with many fewer shootings (accidental or homocide)