"a man either stalked his victim and attacked when she was alone at a time or place where no one else was present or expected or he assaults women whenever he finds them alone in a place he feels "safe" in attacking."
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This is a key element for a predator, time and space to do what they want with their prey. One other key element is for them to be able to blend into the environment before and after they strike. Even now, if a man enters a woman's bathroom it will draw attention, people will look and watch. This is because its abnormal behavior in public.
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As it becomes more common it will draw less attention wherein lies the risk I mentioned above. Like I said before, this possibility is incalculable but it's worth mentioning and considering honestly. So my question to all that believe that this situation won't happen, what do we do if it happens once? several times? becomes common?