You might be more likely to get an answer if you could narrow down the region and period you're interested in. Gender norms for hair length and style have varied tremendously across different cultures and centuries (medieval Anglo-Saxon women grew theirs out while Norman women cut theirs short, for example, and they're just a small body of water apart).

Follow up, how did/do people from extremally hot and arid regions traditionally keep there hair; such as the arabic peninsula or the sahara?