It doesn't make sense to wait at all, infact it makes the American military and government look incompetent that it took them so long to find one man, as long as he was alive it gave terrorists and terrorist organizations belief that you can attack america and get away with it.
It gives citiziens in that country less faith in the people in charge of "keeping them safe" while giving moral to those that want to attack it.
Didn't know American was a masochistic country.
Not really, finding one man with military action is not as easy as you obviously think it is. Not as though you can walk into every town in Afghanistan and people say, "Oh please, come in and have a look around." Afghanistan is rough country, it's mountainous, rocky, desert, and forested, it's not like living in fuckin' Nebraska.
Plus, our enemy had knowledge of the area, that's one way the Russians spent so long trying to take Afghanistan and couldn't. I mean, think about your homeland, where you grew up, now have some guys from Brazil come over and try and find you, you think they could do it in 20 minutes? Fuck no, it would take them fucking forever.
So stop whining and shut the fuck up, because unless you are from Macefuckingdonia, chances are soldiers from your country participated in this same shit.