Is she an adventurous eater? Does she like to feel 'grown up'? I ask, because my DD is a mature 8, who likes all types of food, so I'm going to suggest places I think she would enjoy.
Like others have posted, BOG!! This is an absolute must do for us, and not just for her! We are also looking at:
The Wave- interesting concept and menu, and at your resort
GF Café- lobster burger!
California Grill- maybe take her during Wishes for a special treat
'Ohana- mixed reviews, but looks interesting
Whispering Canyon or Trails End- both a short boat ride away
Beaches and Cream- looks cool
Yak and Yeti- we like the looks of the menu
Boma- also looks really good, gets good reviews
Hope this helps! Have fun!!