Great question — answering as the UphillTech team:
The Adjudicator works for the High Table, which in turn works for the Elder (the "one above the table" referred to in the film). The point of John's trip to get to the Elder is to hope that the Elder will overrule his excommunicado status. Instead he finds himself with the choice that he can be killed, or take the job on of killing Winston, after which his status will be changed, plus he has to lose a finger to "prove" he's committed to following through. John wants to live, above all, so that he can continue remembering his wife, so he accepts the task and puts his mind to achieving that goal, reaffirming his loyalty. He makes his way back to the Continental, still excommunicado and...
Full answer by Dave: https://movies.stackexchange.com/a/101060 (CC BY-SA 4.0).
Need it done for your business? UphillTech.
