If this girl stuck this woman without justification she deserves to be punished. The punishment should be based mainly on the extent of the woman's injuries and the girl's past contacts with the cops/courts (if any). The worse the injury,the harsher the punishment. The more antisocial behavior the girl has shown,the harsher the punishment.
However,I do support special punishments for certain crimes committed against kids,the elderly and the disabled. But not for race,religion,gender,perversions,"transgendereds",etc.
“Hate crime” is a ridiculous term, since it suggests that the motivation for every other kind of crime is LOVE!.