It depends on her reputation for being good at detecting when people lie to her.
If she has a reputation for being good at it and openly makes it known that she punishes people for lying to her, people will less likely lie to her. She only has a problem if people believe that she can’t effectively punish people for lying to her because she doesn’t spot the lies.
That doesn’t, however, make the response incorrect.
It depends on her reputation for being good at detecting when people lie to her.
If she has a reputation for being good at it and openly makes it known that she punishes people for lying to her, people will less likely lie to her. She only has a problem if people believe that she can’t effectively punish people for lying to her because she doesn’t spot the lies.