A contoured sterilizing element is configured to conform to the outer and inner surfaces of a working end-site of a medical device such as a catheter hub, luer connector, luer component, needleless access site, and/or access port. The sterilizing element is made from absorbent material and can be pre-moistened or impregnated with an anti-pathogenic agent. The sterilizing element can be contained within a housing that is easily gripped and opened in one hand by the user. The sterilizing element is configured to wipe debris from and to sterilize and/or dry a working end-site of medical device, using a wiping, twisting, dabbing, push/pull, and/or screwing motion around all of the surface aspects of the device to be sterilized.