I'm not someone who ships Zelda and Link, like, ever. I see their relationship as "Queen and Knight" or "Ruled and Ruler." There's a Fealty aspect I've always put to the Zelda games. I see Link with Malon in Ocarina, or Link and Mipha in Breath of the Wild.
But Tears of the Kingdom? I'm fairly sure they're a couple at this point, if only out of the circumstance of where and when they are at this point in that story.
https://www.youtube.com/watch?v=6Bfjukn4_zw (Warning, spoilers!)
@dolari yup.