I always forget that you're a pig. For what it's worth and regardless of disagreement, it's nice knowing that there are intelligent and thoughtful persons such as yourself in the profession.
Anyways, I have no semantic qualms about calling her a murderer. You can be a murderer without premeditation. I don't think there is a reasonable-person basis for the justification of self-defense.
As far as the bandwidth of police training, I don't buy your argument. Even in the Greater St. Louis area, very few of the police officers are (for instance) specifically equipped to deal with the mentally ill. In most outside municipalities and counties, like in Madison County, IL, only one or at most two officers are trained in such resolution. Accordingly, we get quite a few mentally ill persons killed by the police here. Given the unacceptability of that and the necessity for such training, and given that (I'm sure) these classes were used to fulfill continued education/professional education requirements, I'm still not sympathetic to the choice. If cops want to learn how to cover their ass after they become famous for killing an unarmed person, they should do it off the taxpayer dime.