The worst thing you can do is get her a bow that is to strong for her.
My wife shoots about 25 pounds - she shoots a WARF recurve that James Wrenn made. It's 64" long and she can shoot it like you wouldn't believe. She had a custom recurve made for her that was about 35 lbs and she couldn't shoot it as well as the 25 pounder cause she was struggling with the weight.
She won the state championship last year, 3rd this year so that proves the lower poundage will be sufficient to be competitive.
Also, make sure you get the right spined, high quality arrows - just like you would do for yourself.
She'll enjoy the sport a lot more with equipment she can handle and that is high quality. The Quinn would not be a bad choice.
I feel very lucky my wife enjoys shooting 3D's with me - encourage your girl as much as you can as you'll get a lot of enjoyment with her participating in this great sport alongside you.