Mihawk himself would be pissed at you for asking this.
I don’t get how people think that Big Mom possibly has better sword skills than Goathawk himself. Mihawk has been stated to be the World’s Strongest Swordsman thoroughly. That means he is better than Roger, than Shanks, than Whitebeard, and even Ryuma, albeit featless.
Big Mom is more of a brawler than a creature that relies on her sword. Considering that she has an OP Devil Fruit, I see no reason to call her a swordsman. She is a woman with a sword, not the opposite. She has physical characteristics and her homies to rely on. She can control the weather with Lightning and Fire, Prometheus and Zeus, now Hera and Napoleon.
If you were talking about an all out brawl, then maybe we could’ve had a discussion, but if we’re talking about straight sword skills, then I’m sorry, but Mihawk is beating the living shit out of Big Mom if they were to face off in a sword battle and a sword battle only.
If Zoro is doing a Tango with Kaido, and Mihawk is leagues ahead of Zoro, what does that say about Big Mom getting blitzed and attacked by Jinbe and Soul King Brook? This guy’s swordsmanship is only paralleled by Shanks’, and even then, he is still destroying him. I’ll say that again. Shanks is the only person to contend with him, and Mihawk is demolishing him in a sword fight. Shanks, the guy who pummelled Eustass Kid. Eustass Kid, the same person who beat Big Mom.
Mihawk Slams her.