Testing in school is a district and/or state decision, so you'd have to check your state's rules and regulations.
My DS got tested in K but that was because his teacher recognized that he needed more than K. When your DD starts, go to her teacher and ask her what YOU can do as your DD's mom to help, as she can read and do addition & subtraction. I stressed to DS's teacher that he would have behavior issues if he wasn't challenged.
I think if I bombarded his K teacher, DS wouldn't have gotten the testing at school right off. Grade skipping (he has a December birthday as well) has been the BEST decision for us.
Good luck.