Board Thread:Questions and Answers/@comment-180.214.233.65-20141121100326/@comment-27384850-20170506015641

Well, since you said you're open to criticism...

she used her original skill to beat kirito.. he did not use his

Kirito did use his OSS, though. The only thing he didn't use was the Dual Blades, the Unique Skill from SAO, which he didn't use because it was impossible (the skill was not imported into ALO).

when kirito cuts the magic attack with his sword.. yuuki herself says "no way" implying she can not do that

Yuuki being shocked by Kirito cutting magic doesn't mean that she's incapable of doing it herself, just that she didn't know it was something that was possible to do. The novels explain that slicing magic is a very intricate process that isn't something one would normally consider (due to the nature of magic), so to see something like that be possible was surprising. For all intents and purposes, she could very well have been capable of slicing magic with some practice.

kitrito was about to inflict a fatal blow onto her but the time ran out

The timer was anime-only, in the light novels, Yuuki beat him fair and square.

if kirito went all out he would easily win he clearly didnt try hard to win

Kirito went all out, even in their first duel. He says so himself.