Some prisoners in the highest-security unit of the Guantánamo Bay detention center have launched a protest against what they consider the religiously offensive use of female guards to move them around the U.S. base in Cuba, lawyers for the men say.

Prisoners designated by the government as “high-value detainees” because of their allegedly significant involvement in terrorism recently began refusing to meet with defense lawyers appointed by the Pentagon to defend them against war crimes charges unless the military agrees to use only men to escort them to meetings, according to several lawyers involved.