On WhatsApp, it is possible to change your profile name from your actual name to something more discreet. Anyone who has your number saved will have it show on WhatsApp as what they saved it as, not what your profile says. Just choose settings then type a more subtle name for your profile, such as initials. You can also change your avatar if it has your face or other personal features. If anyone asks, just say you wanted to be a bit more secure/fancied a change.