The "Obedient" trait awards an extra bonus to the Leadership trait buff *to the player who has a positive Obedient score*. The "extra bonus" it's referring to is +1 to the Willpower ability score through the Leadership trait buff.
This can seem confusing because the trait "Independent" (which is the opposite of the trait "Obedient") also gives +1 to the Willpower ability score.
I'm not sure if that's how it's supposed to work, but that does seem to be the way it's currently working. While the Independent trait and Obedient trait are on opposite sides of the scale, it is possible they are meant to both award players with a bonus to the Willpower ability score, albeit through different means.
