That's a really nice story. Although it's a bit sad,too.
Are you gonna continue this story?
Would be nice to read more.
Lookin forward to read other stories from you

I swear to the agnostic equivalent of God, if you don't continue this, I will be very upset. An Asuna/Yuuki fic? You are now the third author to pull off an at least passable one, including myself (yours and the first author's were good, mine was passable). It must not end here! If you don't plan to continue this plot, at least tell me you're going to do more fics of this pairing!

As for a review of the content... here goes. Keep in mind that any criticism is to help you grow, and in no way meant to hurt you, no matter how harsh it sounds.

Ethics of the whole premise are shaky. Not talking about the yuri; my profile contains nothing but yuri, and is a het-free zone. What I'm talking about is the premise of how you plan to "resurrect" Yuuki. That kind of stuff is usually the prelude to the main plot events in sci-fi adventure stories. Pivotal character dies, someone tries to make a copy of him/her as a replacement, things don't go as the creator hoped, resentment is born in the copy of the dead character, and you suddenly had a cliche, but juicy, recipe for an awesomely dramatic set of sci-fi antagonists. But you broke the mold and used an antagonist-creator plot device to bring back a protagonist... debatable ethics, cool way of using the plot device. Also, good thinking with having Kirito do a lot of the work - despite having an average IQ (he probably screwed it up on purpose to not stand out, but not enough info is given on that event to be sure), he has shown on multiple occasions that he is smart enough to be capable of doing something like that, especially by the end of Mother's Rosario.

I'm gonna be the first to say that you need to utilize the line breaks in the FFnet DocX editor; as things are now, your pacing looks like total shit. It just jumps an unspecified amount of time from one paragraph to the next on multiple occasions, and if you're speed-reading those parts, it's especially jarring. A line break between each transition of even a half hour would improve this drastically.

Grammar is above average for fanfiction, and I don' have any particular gripes; most of your mistakes were obviously typos, and those don't follow a pattern for me to point out. That's up to you or any beta reader you recruit.

That's it for now. Your story is definitely good for a first work, and as I know it is your first (at least on this site), I won't voice anything more in-depth for now. All in all, this is one of the best first stories I've seen in a long time, and you didn't even use the excuse, "First story, please don't be too harsh". Honestly, if you did and I didn't like the story, I would have been extra hardass just because I hate that excuse.

I hope to see more from a promising yuri SAO author like you in the future. We are few in numbers, so anyone who takes the plunge is greatly appreciated.