The reference to the priest was a humorous inside joke. We've observed that since the Cast doesn't include a Watcher or anyone with expertise in the occult, in times of crisis, the Cast Members invariably turn to whoever helped them in the previous Episode, regardless of how inappropriate that might be.
In Episode 1.09, I had already given the players all the clues they needed to figure out how to defeat the bad guy. I even gave them a new Guest Star who could lend them a hand. Instead, they went running back to Father Sullivan, who had been the correct person to turn to in Episode 1.08.
Wrong answer!
So in Episode 1.09, when they tried to call Father Sullivan late at night because they needed help right that moment, I had a younger priest answer the phone. He said Father Sullivan had gone to bed and he'd relay the message first thing in the morning. It was this instance that Desi was alluding to.