They Shoot Horses, Don't They?

A nation's judicial system is deeply flawed when it supports the execution of convicted murderers by lethal injection but forces an innocent woman (albeit at the mental level of roasted garlic) to starve to death. If the courts agree that she wanted to die and that there's no point in keeping her alive, then there should be a legal mechanism for killing her quickly. But then law and logical consistency are merely acquaintances, not friends.