Covering the face would still be very unusual in Turkey. Up until recently no Irishwoman would leave the house without her head scarf, and it certainly was not considered appropriate to flash bare arms, legs or low neck lines.'Wrapped' means covering the head (and in some cases some or all of the face as well). Basically we are talking about women who follow the Muslim dress code to varying degrees. It is a fairly good indicator of the conformism or otherwise of the society with Islamic strictures.
Standards of public modesty vary in different societies.