It sounds like you’re describing a life-sim NSFW RPG similar to The Imperial Gatekeeper, Degrees of Lewdity, or Akabur-style games, but your details match Degrees of Lewdity the closest — especially the jobs, prostitution path, stats like slutiness, and time-based city events. The game is still in development, has character customization, and includes multiple job routes. Check that one first — it’s the closest match to what you described.