Killing one for doing what comes naturally when you are on its turf is pretty damned stupid.
You make an interesting point, but I think the reasoning is that she may have begun to consider other humans as food and would start including them in her diet.
My point is, as I stated, "The modern age. We can put to death a bear, and maybe her cubs, if its shown it was she who killed a human. The human predators among us, though, cannot be subjected to the same fate but must be kept alive until natural death."
I do believe we have more to fear from our fellow humans than we do a dozen grizzlies.