Board Thread:Questions and Answers/@comment-32397673-20170626124121/@comment-1200981-20170922165515

Ordinal Scale is...in a odd position in terms of canonicity. Originally, the movie was meant to canonically take place after the Alicization Arc had concluded, but since A-1 Pictures hasn't animated the fourth arc yet Ito (the director) asked Reki Kawahara to put its chronological placement between Gun Gale and Alicization. Unfortunately, the dates featured in Ordinal Scale's script remained unaltered and certain scenes (such as Kirito being at Asuna's house, even though he has mentioned in the novels that he hasn't been to her house yet) are still included. So far, Reki is weighing in the possibility of writing a novelization of Ordinal Scale that adheres to his original format.

So, it's probably safe to say at the moment that the movie is canon to the anime, but not the novels.

But I digress. No, the two of them aren't married yet.