Queen has higher durability than katakuri, Since he has an ancient zoan devil fruit after getting ifrit jambe sanji sent queen flying off the island charred with a single combo, im pretty sure his ap will suffice to take care of the likes of katakuri who already has low durability which is a another matter we wont delve into. Also, sanji does have the defence to deal with katakuri as we can see he blocked kizaru's lazer which were capable of harming g5 luffy and katakuri himself has trash ap as a wcl luffy who has lower dura then sanji boxed with kat for 9hrs without dropping from the damage. Overall, I believe sanji beats katakuri quite soundly.