Some people just cannot function in the morning or before a certain time. Teens are actually programmed this way biologically and it has been scientifically proven. Some teens have a much harder time in the mornings and it sounds like your daughter is one of them. I hope the later start helps her.
I hope the list I sent you helps you find an advocate to help protect both your rights and her rights. I also hope you made a formal complaint against her principal and that the woman gets fired. What she did was a felony and she has zero business being anywhere around any children in any position of authority. I feel bad for all of the children under her abuse, sorry, her authority. She clearly is NOT a role model the way a principal should be but instead is just a sick bully.