In any case, if they don’t get a considerable donation, they put priority on the request of the poor for the sake of reputation and popularity.
Of course there are rich people who are able to provide sufficient donations and obviously get even higher priority that way.
“As he killed a vassal who warned him to not waste too much money on his habits, the Earl-sama was killed in reverse. Thanks to seals they aren’t causing any troubles outside anymore. Even if they were forcibly purified, it wouldn’t be a reason for the society to praise the church highly either.” (Ogas)