Perhaps cook the egg again after rector admitted blame (8)
I believe the answer is:
reproach
'blame' is the definition.
(I've seen this in another clue)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for reproach that I've seen before include "Chide" , "Berate" , "Upbraid, rebuke" , "carpet" , "Admonition" .)