What is what does it mean when there is an x next to someone's name on snap?

On Snapchat, an "X" next to someone's name in your chat list typically indicates that your Snapchat friend request to them has been ignored or rejected. It's a visual cue to let you know that the person hasn't accepted your friend request, and as a result, you won't be able to send them Snaps or chat with them until they add you back.