Obedient is a pet trait featured in The Sims 3: Pets. This trait is only available for horses.
Obedient horses are more willing to do what a Sim wants than other horses. They'll usually go along with a Sim's wishes, even if they don't know that Sim very well.
Attributes
Horse is reluctant to Kick Sims or Throw them off their backs.
Horse is more likely to accept socials.
Horse gets along better with other Friendly and Good Sims.