If you have a privacy concern, simply ask them to "drape" your penis--a towel or cloth over your penis, but still allowing access to your scrotum. working in the medical field, believe me, despite rumors to the contrary, patient comfort, privacy and respect is VERY important--and in most cases it is legally required. As long as it doesn't interfere with the procedure, the technologist will be accommodating I'm sure it is nothing, but good luck on your procedure!.