Interesting topic, and as some have indicated, it is downright stupid to shoot a hen pheasant from standpoint of population sustainability. You want shooting, so shoot some blackbirds or go to a plantation to shoot pen raised birds, but respect the laws surrounding wild bird hunting. The idiots amongst us are the ones that and anti-hunting special interest groups prey upon in demonstration of their agenda.
And I'm sorry, there is no justifiable excuse to accidentally shoot a hen. No more complicated than if you don't see the white ring, you don't shoot. So some roosters get away - GET OVER IT. It is about the experience (and privilege) and not the numbers.
Speak out against idiot hen shooters!