Originally Posted by
Flash Gordon
Proving herself in the man's world? Just because she's a female character doesn't mean she is proving some kind of point. There was a tiny bit of that in the begining when she was little Arya Stark who wanted to learn to use a sword and was told she shouldn't, but that was never who or what the character was.
She has long moved on from that.
As for revenge? She kills the Night's King within the gates of her ancestral home. There is no better win.
She has spent years training to be the best KILLER. Not best swordsman, or fighter, but the best killer. A faceless assassin who decides that she does want her face after all and does want to fight beside her brother and sister.
I'm not big on the Night's King and his lack of interesting motivation, but I felt that Arya delivering that final blow was very cathartic for the character.