Why won’t NPCs give me side/world quests in Genshin Impact?
There is a set amount of such quests, you have to look for them.
But if you found one and can’t get a world quest, most likely, you’re stuck in multiplayer mode. Multiplayer mode disables a bunch of time-consuming activities like talking to NPCs and alchemy.
Go to menu, choose “multiplayer” (it looks like a radio antenna), and find the button that takes you out of that mode in there.