I also boughta Compact for my wife in .243 If I had it to do over again I would have gone with the 7-08.(but that is my view) The accuracy is very good, although, I always do a trigger job on my Rugers, but I am am a bit on the "restentive side". I think that he .243 is on the light side, but has killed piles of deer at all responsible ranges with the right shot placement. Maybe that would be the best lesson. Wait for the right angle, and the recoil won't scare her. Your doughter will most likely make a great kill shot. My two year old son will learn centerfire with that rifle, and if he waits for the right shot, it will bring home venison. I think that you made a great choice.
I have a lot of guns, though, If I weer looking for a one-gun battery, I'd go with the 7-08 or .308
just my 2c