Here's the thing.
When Tyler's turn came to chose his pain, being an honourable Starfleetofficer, or Voq... He picked to take the beating, which was actually pounding L'Rell into a delirium of pleasure flutters, and not a beating, so no one ever beat up Mudd, and that is why Mudd looked unscathed.
When Tyler's turn came to chose his pain, being an honourable Starfleetofficer, or Voq... He picked to take the beating, which was actually pounding L'Rell into a delirium of pleasure flutters, and not a beating, so no one ever beat up Mudd, and that is why Mudd looked unscathed.