I remember a book which was in the library where I worked about 10 years ago - the book was probably printed 10 years before that so more than likely it is completely extinct by now, but... It was by a woman called Attarah Ben Tovim, I think, who had a music centre where children could come and try out any instrument they wanted. She had a well-thought out theory that certain instruments work for certain people and not for others. It all relates to the size, shape, physical movements, sounds, etc etc of each instrument and how each person relates to that. Some people learn quickly by ear, some learn better by using sheet music. Some like small hand/finger movements some like big movements, some like soft or sweet, some like to belt it out.It would be worth tracking down some info, or one of her books if you can, because she changed the way I thought about instruments. Your daughter may gravitate to one type of instrument eventually.
It's funny to me that my sister learned piano at high school and I learned flute at uni, but now I play harp which is similar musically (chords, accompanimnet, scales etc ) to a piano and she plays flute. Either way, though, we both attribute our start in music to that primary school teacher and the plastic Musettes. (We were in the same class, but one year's age difference.) We had a school reunion of that class last year and a few of us still had the Musettes and played a tune for the teacher. He loved it. What a great tribute to his enthusiasm & insight that we could still play the same tunes & have so much fun with it 35 years later!
Helen