Crossword Genius

Unofficial power supply in emergencies (8,5)

Ross

I believe the answer is:

eminence grise

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'unofficial power' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'supply in emergencies' is the wordplay.
'supply' is an anagram indicator (in a supple way).
'in'+'emergencies'='inemergencies'
'inemergencies' with letters rearranged gives 'EMINENCE GRISE'.

Can you help me to learn more?

(Other definitions for eminence grise that I've seen before include "One exercising power in the background" , "Power behind the throne" .)

I've seen this clue in The Independent.
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