After completing both "3:10 to Kaboom" and "Breaking the Bank", you'll be able to pick up this mission from the Bounty Board. The Sheriff has taken a liking to you. And so she wants to kill you.
- XP: 5716
- Money: $765
- Gear: Relic
The mission is relatively straight forward. Head out to Main Street by following the waypoint and when you get there, the Sheriff will appear with her cronies scattered around the rooftops in classic western fashion. The Deputy will also be present.
Interestingly, there will be plenty of extra bad guys but if you can manage to take out the Sheriff without shooting the Deputy, you'll complete an optional objective (great easter egg as well). If you manage to kill her using a pistol, then this will complete the other optional objective.
I would recommend running right past the area that she is at, rounding the corner to the right and then look for a spot on the left just past the building. This will put you in a position where she can't shoot you, forcing her to come down. From here, wait for her to appear, take her down and then bolt. Remember that you can shoot Marshals, just not the deputy (though if you have to, you have to).
Head back to the bounty board to turn this mission in.