The quest marker will remain in front of the word wall.
When I get down to Falkreath and try to talk to the Jarl he is hiding in a room and not on his Throne, he is happy to see me but won't even give me a quest to go kill the bandits, nor will his steward. Just a FYI I am not playing the Special Edition but since I don't think Bethesda has changed anything besides graphics and 64bit capability I think this would apply regardless. I’ve gone through every dialogue option many times, i’ve spoken to her pretty much every time im in whiterun, i’ve tried getting rid of the mammoth tusk from my inventory and then speaking to her, and i’ve even done the sleeping tree sap thing and sold her the sap.