The Time Archon.

"Y/N?" The dude had a girly voice, you could tell it was a boy though, it's just- what you remember.
Y/N looked back just to make sure he wasn't talking to anyone else, 'I guess that's my name.' You thought,

"Uhhh-" you looked down "Yes! I'm the name you just said,- Y-? Y/N!"

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Uhhhhhhhhuhuhuhuh

So this is basically just me throwing my theories into a story-

Basically, if you haven't paid attention to the story's lore, the time god - or time archon was worshipped alongside the anemo archon, and was forgotten over the century. Originally, I think Paimon is the archon, I'll get into it later though, but no, not in this story, in this story Y/N is the time archon.

I'm not sure if it's an archon or not, but I'm pretty sure it is, there has to be the king of the chess pieces, otherwise known as gnosis's - or- Gnosi, I think.