Removing a quest from a quest giver isn’t obvious; I need to change the UI to make it easier to find things! To remove a quest, drag the quest to the right, inside the quest editing dialog. This will expose a red ‘X’ on the left side of the quest. Release the quest while the ‘x’ is showing to delete it.
I need to make this much simpler to do, and not hide it the way that I’m doing right now!
Thanks for playing the game, and for asking the question!