An instrument for removing debris from an eye during the treatment of an ocular disorder has a swab and a rigid member. The swab includes a tip portion sized to provide access to the debris on an eyelid of the eye. The rigid member has a distal end portion affixed to the swab and a proximal end portion with a cross-sectional member profile. The cross-sectional member profile is non-circular and has a first groove. The first groove extends longitudinally along the proximal end portion for cooperating with a chuck such that rotation of the proximal end portion within the chuck is inhibited.