I teach sewing to 9 year olds to adults. We purchased 10 new Janome Jem Gold 660 machines this year. Our girls love the machines because they are so easy to use. They were $199 with no shipping charge. Excellent machine that will last your daughter for many, many years. A person in our quilting group has had one for 10 years. No repairs and she does a lot of sewing/quilting.
Here is a link to purchase them from Amazon:
Good luck and congratulations to our daughter for wanting to learn the life long skill of sewing/quilting.