We did an early enrollment kindergarten because her birthday is at the end of december so she will be an older kindergartener.
I don't understand this part. Will your dd be an older kindergartener? What is 'early enrollment?'
Does your school have a Gifted Coordinator? If so, can you set up a meeting with her/him so that the program can be explained? Perhaps bring in some sample books and worksheets so that the GC can get a flavor of what DD is doing?
If there is no GC at your school then things are more 'Wild West' which can be better or worse - but it sure is different. I would recommend you call the school NOW, and arrange to visit a kindy class while school is in session and observe what happens to the ones who are more advanced. While you are at it, try and observe a few of the 1st grade classes. Watch for ways in which the teacher tries to teach everyone at their own level. Look at the books on the classroom Library shelf. Ask yourself: 'What messages will my child internalize about herself by being in this environment 5 days a week for many hours a day?'
Love and More Love,
Grinity