I'm probably ignorant, but if he wants to swim nekkid shouldn't he have just told them(both sexes) to turn their backs to the pool until he says other wise(i think that's where the danger would be anyways?) maybe except one dude to make sure he doesn't and drown or some shit.
might be another unpopular thought... if that's all it took to make the agents uncomfortable, are they in the right profession and do I want to trust them with my life?