I think the puberty thing is an issue. Having skipped with a few other kids, I wasn't alone, but I was also later than most peers, so this is something all go through.
And I agree that there should be some kids her age. My DD is in a 4/5 split with a fall bday so she is 9 in grade 4 without a skip, allowed to do 5th grade work.
And DD still wants to do little girl stuff like playing outside so there are kids who do, though few, and since it is a gifted class, she has some peers, though she is on the higher side of IQ and the only one doing above grade level work.
I also agree that the license thing is a non issue, though maybe for boys. I was in grade 12 when I turned 16.