From a 3rd pov, the annoying one is our MC.she is just running around with no care in the world, doing whatever she wants, whenever she wants, ignoring politics and everything while the big sister has been trying to hold everything together.
He only reason the MC is doing anything beneficial is because she knows the future, and most of it is completely by chance.
If she was my younger sister and I have been shielding her from high society and politics my whole life, and she never asked anything or seemed curious about it, but suddenly comes with opinions and screaming I am wrong, I would be hurt and I will not trust her advice.

I usually love sisters bond so much but for some reason I can't help disliking this older sister so much. Maybe she's not bad, just badly written I can't help viewing her all annoying cuz wth you doing