Edit: "Reyinn", really? Major fail for whoever did the latest poll. Rey+Finn's portmanteau name should clearly be "FRey." Or "FiRey" (pronounced 'fiery').
No, it's definitely Reyinn. Like 'rain'. Like, "Hey, sorry to Reyinn on your parade, Rey/Finn shippers, but she's clearly in love with Kylo Ren".
Remember when it was 100% canon that Kylo sent Rey such hot shirtless pics through Forcechat that she literally packed herself up and mailed herself to him in a box? Not even Legends. Not even EU. Straight up, pure, uncut canon, baby.