Board Thread:FAQ Board/@comment-6697950-20160606184044/@comment-25824673-20180716043250

ZeHaffen wrote: Probably not, though; Kirito would have gotten Asuna's parents' blessing and he'd likely use a more expensive (probably diamond) ring if he were proposing to her. Chances are it was just a promise ring. Asuna's father is supposed to be dead, over the issues with the game and the employee who thought he had every right to marry Asuna...

That said, her mother seemed to be a 'stick in the muck' during the follow up stories. Mind you I've not read the LN or WN and am going only from the anime... I could very well see Asuna's mother saying... "poppycock, you can't find love in a game."

Then again, in Japanese culture, it might fall to another Male relative to give the permission... depending on how traditional the family is supposed to be.