You won't get the rights to publish it.

Nothing is keeping you from posting it on the internet though, as a fanfiction. Which is exactly what it is. Perhaps some site will even adopt it as their "official" timeline "theory", like a site did with Luigi 64's fanfiction.

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Awards:
Voted Best Zelda Theorist twice.
Voted Most Knowledgable Zelda fan at ZU six times.
Voted Most Zelda Obsessed six times.