I believe they can question her as described however, school administration are quite often complete cowards and if you approach this right, you should demand at least a public apology to to from the principle and those involved on the basis they didn’t contact you and caused your daughter mental duress.
If it is an overtly liberal school, accuse them of bullying, sexism, and harming your daughter’s self esteem and you may get some compensation.
Sue the school. Sue Obama. Sue the Police.