The Blood Oak might sound like an easy card to satisfy: Kill a person every 3rd night, and survive the game. However, this does not come without its hindrances.
The villagers fear that you might kill some of their own, a seer or bodyguard might even be the victim of your killing! And of course, they would want to get rid of that fear.
And meanwhile, the werewolves are just as, if not more, scared of your lethal power. Since they can´t kill you at night, they´re powerless to get you to bite the dust during the night time!
Since you´re a chaos role, no team matters to you. Choosing to side with the villagers or werewolves, or deciding who to deceive, both paths can lead to victory.
Therefore, your speech is your most powerful ally. The town will know that a Blood Oak resides in the city, and can quickly after some killing deduct where you are. Therefore a dialog with the city is often a safe path to survival. You´re not a werewolf, and therefore not essential to kill, to make the town win. And with good cooperation between you and the rest of the city would often benefit both. But remember, what you say, and how you act doesn’t have to line up.