You as her father, and also head of the household you have every right to corporal punish your daughter, if she does not obey the rules you have set down. If need be, and if it is warranted. 'six of the best', and I mean the very best with a cane, should be given to her on her bare bottom.
When we were dating, my future wife admitted that she'd gotten spanked after getting into an argument with her father. She said just hearing the dreaded s-word, and knowing her father meant it, made her feel as if she was still in high school.