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I think as long as you keep tight control over the tone of the whole ordeal, police would be fine. But maybe an alternative could be recognition? Like, as people see you, some "recognition" meter would fill up, and on max the people would know it's you and word would get out, making you a social outcast or something.

Re-framing notoriety as recognition is an option. The game originally stems from the embarrassed nude female (ENF) sub-genre, so the idea of her becoming more embarrassed as she becomes more locally known is an option. The system I wrote in the article was actually inspired by the police mechanics in The Simpsons: Hit and Run. If notoriety becomes recognition, what does that entail? She loses confidence faster? More people are out-and-about? Do certain NPCs come out only after a certain amount of recognition in pursuit of her?