Either a man or a woman could take the Nazirite vow: "When either a man or woman consecrates an offering to take the vow of a Nazirite . . ." (
Num 6.2).
One of the requirements of this vow was "all the days of the vow of his separation no razor shall come upon his head" (v. 5) (The "he" here is a generic singular pronoun referring to an individual whether male or female. This is the same usage found in the other requirements as well.)
This seems to suggest that it was not the norm for Israelite women to have uncut hair, that is, to never use a razor to cut their hair. Otherwise how could this vow to abstain from cutting her hair symbolize her Nazirite consecration if she never cut it anyway?