"An oath keeps if the oath-taker does as well. I would not be here if that was not true. I am who I am, and that does not change with who holds my allegiance. Oaths and Hate can serve you as faithfully as anyone, and guarantee the loyalty of others." If Zeus's sacred oath was gone, she would forge another. She had to, to appease her essence.
"I have intelligence. I can fill in blanks concerning the Olympians. And while not War, I am still capable of spreading chaos and dissension among them. If you want to battle, I can help. Likewise in maintaining the peace.
"I followed Zeus once, in a foolish error that I won't repeat. I'm a daughter of Titans. I do not serve him. Whether you will take me or not, that does not change. I'm still proud, but not nearly stupid enough to follow an abusive sovereign."