That gun may be a good choice for her. Another one to consider is the remington 870 youth 20 gauge (13" LOP) or the 870 youth Jr. 20 gauge (12" LOP, available only though Gander Mountain). I bought the 870 youth Jr for my grandson. At 4'7"/65 pounds he has no problem handling and shooting it.
All that is neccessary for evil to triumph is for good men to do nothing.