- Kill Beitild in Dawnstar.
Simply follow Beitild and kill her. She works at the mine with many people around for much of the day, so killing her at night is recommended. If you talk to her first however, and tell her you’re from the Dark Brotherhood, she can be goaded into starting a fight, and you’ll even be able to kill her in front of a guard as it is now “self-defense.” You could also cast a Frenzy spell like Fury at her from a distance. This will cause her to attack anyone nearby resulting in a quick death from the guards.