Are you suggesting that going to public school is a violation of God's laws?
Which of God's laws are violated by obeying a court order to go to a public school?
How do you know it isn't God's will that this girl go to public school.
She loves to witness to everyone she meets. Think of all the people she will meet. If she is as strong a Christian as she appears to be, then she will be mightily used by God as a witness to the heathen.
I didn’t put my kids in public school for the very reason that I felt the godless indoctrination occurring in them violated the command from God to bring up a child in the way that he should go. To teach them at home ont way to live, then force them to endure pressure that is directly opposed to this belief is, simply, wrong. For me, it would have been a sin, because I was convicted that it was wrong.