As a parent myself and one who left childhood age some 20 plus years ago, I have come to understand that children will always be children. They develop a mind of their own and have a tendency to follow through whatever they make up their mind to do until they see a compelling need to consider other people's advice unless an undue pressure is used to stop them.
I believe that your daughter will adjust her reading habit on her own when the time comes. You have sowed a seed in her heart as a father, for now she just wants to do what her mind tells her. She will come back to do what you have told her much later in life.