Biggest problem you will have is she is still growing. An adjustable stable ski is a must. Also get a ski that you can sell for almost as much as you paid for it when she decides to stop or move on to a tippier ski.
I have seen it too many time where people put their kids into skis that are way to advanced, they fall out often and eventually give up, never to do it again. Or another trick is to take them out in a 30knot gale and think they will love it!
My suggestion is something like a Epic V8, she will be able to paddle it from the get go, have fun and when she starts getting up to a crusing speed of over 10km/hr she can upgrade.
Stability is everything! don't be fooled.