Possible Clues:

• Idea above criticism
• Much-guarded idea or institution, like Hindu bovine
• Counterpart of a Papal Bull that's above criticism?
• Executed agitator keeping revolutionary Western idol
• One unreasonably held to be immune from criticism
• Something immune to criticism
• CE cowards put out doctrine of all-male clergy, say
• One that's dated, holding reputation firm?
• It's not open to question, thus load rough cedar into barge
• Something held to be above criticism