Anecdotal evidence indicates that the quote which is the source of the name is not nearly as widely known as the people who do know it believe/expect it to be.
The name sounds like a command; both the Trope Namer quote and the trope are about an exclamation or rhetorical question being mistaken for a command.
The trope isn't about priests specifically, the name can be taken to be if the quote isn't familiar.
The trope doesn't seem to be attracting much use; it has 15 wicks: 3 are indexes, 1 is a redirect, 2 are mentions that it's a subtrope, 2 are mentions that it's a related trope, 5 are potholes (of varying degrees of relevance) and 2 are works pages.
It was launched on the 14th of July. In 53 days it's accumulated 5 inbound links. That's decent but not great.
That 15 wicks is 8 more than it had on July 19th, when it had 7 (by count): 1 redirect and 6 indexes or notations that it was a subtrope or related trope
Reasons to not rename:
The Trope Namer is a perfectly literal example of the trope.
The original quote is snowcloned into "Who will rid me of this <adjective> <noun>?" in modern usage.