When you hover over someone's username on this website there should be a button somewhere that says "Send Direct Message", if it's not visible there then you could try checking their profile page directly.
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Please stop embedding files/images from Discord. Discord has anti-hotlinking logic in place that breaks links to Discord hosted files and images when linked to from anywhere outside of Discord. There are a multitude of file/image hosting sites you can use instead.
(more info here)
Cave Story Tribute Site Forums
Jade