There has been a number of male jihadis dressed in burqas to move around. Some were caught; some were not.
http://www.freerepublic.com/focus/f-news/1468419/posts
"Marriage on the Rocks"
National Review Online ^ | August 22, 2005, 8:11 a.m. | James S. Robbins
Posted on 08/22/2005 1:04:15 PM PDT by The_Victor
"Is al Qaeda of Iraq wearing out its welcome?"
ARTICLE SNIPPET: "The strain has been showing in recent weeks in Ramadi, the capital of al Anbar province, along the Euphrates River west of Baghdad. Seeking to incite a violent confrontation, Zarqawi's terrorists had ordered members of the city's Shia minority to get out of town. On August 13, they tried to eject them by force, and found the way barred by armed Sunni militia. The ensuing gun battle lasted for an hour before Zarqawi's fighters retreated. On August 18 a group of mostly Sunni political, tribal, and religious leaders (including the governor of al Anbar), hosted by the influential Association of Muslim Scholars, were meeting in a mosque discussing the new constitution when Zarqawi's men opened fire on them. The next day Abu Muhammad Hajeri, a Saudi leader in Zarqawi's group, was found dead with three other members of the group, killed by local tribesmen in retaliation.
Infighting like this is not unprecedented — last March seven foreign fighters were killed in Ramadi, allegedly as reprisal for the assassination of a prominent member of the Dulaimi tribe and former officer in Saddam's fedayeen militia who was working with Coalition forces in Fallujah. The Dulaimi are one of the largest tribes in Iraq, and had enjoyed a measure of autonomy under Saddam's regime. They boycotted the January 2005 elections, but have since moved towards sanctioning limited participation in the political process. The Dulaimi led the defense of the Shia families in Ramadi; such a prominent Sunni group becoming engaged in the political system cannot be good news for Zarqawi."