Did they say how they knew it was a “Catholic” priest? The reason I ask is ministering angels have often appeared out of nowhere to accomplish miracles for the glory of God. Most of the time, they disappear as mysteriously as they appeared. I’ve had several such encounters and it has ALWAYS been done to bring glory to God and NOT the messenger.
I think it was an angel disguised as a priest.
Abraham greets three travelers outside his tent. One is the Lord, the other two, I have always believed were angels.
“...how they knew it was a Catholic priest...”
A Catholic priest would have had the anointing healing oil that is blessed on Holy Saturday - I’m not sure, but don’t think other denominations use this oil.
Could have “appeared” Catholic to one witness and Protestant to another, etc.