I'll take the first legal animal I have a crack at. In some areas that I hunt, CO for instance, you have to decide in April if you want a buck or doe and apply accordingly. So when the season rolls around I will have a doe tag in my pocket and any buck no matter how big he is will get a pass.
If I'm hunting an area where I can take either sex then I'm pulling the trigger on the first legal animal I run across. If it is a doe, fine. If it is a buck, fine. I've never hunted specifically for antlers. To me the meat is what matters and all deer, bucks and does, have meat. So to me, it doesn't matter if it is a big buck, a little buck or a doe. If it is legal, I'm going to try and take it. If I was in the scenario where I had a doe, a small buck and a big buck and I could legally take any of them I'm taking the first one that gives me a good clean shot. But, that's me and I won't expect others to do likewise because to each his own.