Please let your child choose! I was made to play the piano and take lessons when I was a child and hated every minute. The only thing it did for me was teach me to read music. Later on I excelled at playing the flute.
I second that completely. If your school has a music program, ask if they can let her try out instruments to find one she is comfortable with, or see if a music shop can do it.
My parents were determined I would learn to play the violin, and I was made to stick with it for years, despite never making grade one and I hated every minute of it. Meanwhile I taught myself piano at a friend's house, which is the only reason I still like music. Her mother was a music teacher and finally had a word with mine.