How anyone can be bothered by Jun is a bit beyond me, she's a human pet, a puppy who just wants to smile at you and make you smile back. Also, hugs.
I think she will play and important role.. she does not understand or know anything about the religion but she can sense him and feel him... she is empathic when it comes to him. She is probably to be there priestess but too young to be told anything about the religion they follow is my suspicion. The question is what is his role in the religion and the Myths?
So we know for a fact.
1. A lot of redactions in cases but others were not fired for it so someone higher up needed him involved in the myths
2. Involving him in the myths will also involve him in the church and that religion
3. Jun family is involved in a religion that has some sort of prophecy about him it seems
So he was intentionally given the case. Forced to have to fail the case so he could be fired for it and brought into the folds of the organization. So what is his role to be in all of this? I can't wait to see.