...He will keep that in mind the next time he's tempted to do something which might annoy the Archbishop of Varisia.
The best time to grovel was apparently thirty seconds ago - that would have gone over better than trying to defend himself - but better late than never. In a panic he'll execute the mental motion of finding a frame where he can believe that he did something wrong and can convincingly perform contrition... and ah, he's found one. Give him just heartbeats to work himself up into actually believing it, and:
He royally fucked this one up and is so, so sorry. He didn't think what would happen with the shadow if he died. He didn't think at all. This is an explanation, not an excuse; there are no excuses. The Archbishop is justified in whatever he decides to do now. This priest only asks that he be left whole enough to use his magic in service of Hell and defense of Korvosa.