'Shave' in the Bible

Take these men, go through the purification ceremony with them, and pay their expenses to shave their heads. Then everyone will know that there is nothing in what they have been told about you, but that you are carefully observing and keeping the Law.

So if a woman does not cover her head, she should cut off her hair. If it is a disgrace for a woman to cut off her hair or shave her head, let her cover her own head.