If your safety system is "we'll have to wait till this person rapes several women over the course of many months" then it is meaningless to begin with. And they can then create another profile in seconds on any of the dozens of other apps out there. So no one is safer.
The only reasonable line is - act on the first report (and every single other report), and work closely with the police. But if the victim doesn't want to involve the police then what can you even do?