And while parents might not want to admit it, peers have more influence on a child's future than anyone else.

Parental support is the most important thing in a child's life, but that parental "diamond" will be polished among its peers.
The parent is there to choose what kind of society it will be, because, unfortunately, not all diamonds turn out bright and shiny, if they fall into the mud and mire of society.
That's why it's important to choose a good school for her, regardless of how well it matches her wishes.