When is mormon.org going to be updated? According to the new Style Guide of the Church of Jesus Christ of Latter Day Saints, mormon should not be used to refer to the Church or its members, which mormon.org (which is owned by the Church) does in multiple places. Not only that, but the President Nelson has stated that this change is doctrinally important.

So, when is mormon.org going to be updated to reflect this?
I don't believe we know (yet).

As soon as possible?

President Nelson says:


  And some said it couldn’t be done, so why even try?
  
  ...
  
  It was the Savior Himself who said, “For thus shall my church be called in the last days, even The Church of Jesus Christ of Latter-day Saints.”


So that's it: The Lord decreed that His Church will be called by that name in the last days, so it will happen, but the revelation from last conference does not seem to indicate a timeline. We will have to wait and see (and do our part as members).

It's likely not just mormon.org that will have to change, but probably Mormon Newsroom, lds.org, and several other significant Church-owned assets.