Are you going for a nursing position?
It might sound odd to say that you don’t touch men when you may very likely come in contact with male patients unless you are working ob/gyn or pediatrics.
You might have to put your standards in a little bit more of a delicate way.
I think you should ask health. He’s in the field and has probably encountered this issue with fair regularity. He might know the accepted lingo for this issue in that environment.