Women wear a headscarf and dress conservatively.
Apply conservatively because it can get stiff and weigh your hair down otherwise.
This appears actually to be the case in the period of the First Dynasty of Babylon and also in the 7th century in Assyria, where early Babylonian customs were kept up conservatively.
Rose is strong-willed, unafraid, and dresses rather conservatively.
Switch to conservatively cut slacks that sit at the waist and hide underwear.