Yes, a female Nazi Mayor's wife working with the SS and turning in Jewish prisoners to sadistic guards could technically be called a woman. I wouldn't do so, but you obviously enjoy it.
No, the execution of such an enemy during wartime conditions by a released prisoner who's life was threatened by that same Nazi is not murder. That is a moral issue completely ruled by circumstances and actions, not merely what is between the creature's legs. Your inability to parse between those different aspects is something I can't help you with.
In short, call my support for killing Nazis anything you want - murder, atrocity, whatever. Weep tenderly for the loss of their precious lives. Turn morality inside out, claim that my position against nazis living is murderous and conscienceless - fine.
But for my part, I won't be replying anymore. You see, it's Veteran's Day, and I'm going to spend the rest of it giving thanks to God for the millions of men who chose to reject your moral perversity, and who went over to Europe and found people EXACTLY like your precious Nazi bitch, and shot their asses dead.
“Yes, a female Nazi Mayor’s wife...”
The woman had a wife? Do you even know how to write a paragraph that makes sense?
it's complicated and we need not generalize as we have an actual case where the Jewish victim/survivor testified he returned for revenge and changed his mind so as not to be like his persecutors. He wrote "God pricked my conscience."