To tell you the truth, there is a level above being a general adherent of the Pumpcult called Pumpcult Advanced Follower, and I am one of them now.
Advanced followers can deal with Pumpcult core business. So if you want to become an advanced follower, the religious order will send someone to investigate you, then you can definitely become an advanced member.
But you must collect enough medals to prove your dedication to the Pumpcult, then I can recommend you as an Advanced Follower.