If you never did the Dragonflight quests for skyriding (formerly dragonriding) I think it can be buggy. You can try questing in the Dragon Isles and you’ll get to those quests fairly quicky. You could also try making a remix character. The skyriding quests are pretty early on. The hope is that doing those things might trigger whatever flag is wonky. If it doesn’t work, you’ll have to wait for a fix from Blizzard.
But definitely try taking the character to the Dragon Isles, as that’s the most likely thing that will trigger it.