Hijab. Women's covering like this did not begin with Muslims. Both the Torah and the New Testament instruct women to cover their heads. Consider images of Mary the mother of Jesus. She is always dressed exactly like Muslim women dress today! Practicing Jewish women still cover their heads, although they now do it with wigs instead of scarves, and some Christian sects like the Mennonites and Amish have also retained the head covering. In God's last revelation to mankind, the Qur'an, He also instructs women to cover their beauty.
"Say to the believing women that they should lower their gaze and guard their modesty; that they should not display their beauty and ornaments except what (must ordinarily) appear thereof, that they should draw their veils over their bosoms and not display their beauty except to their husbands, their fathers, their husbands' fathers..." (Qur'an An-Nur, 30-31)