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Communist annoyed relief provider (3,5)

Ross

I believe the answer is:

red cross

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'relief provider' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'communist annoyed' is the wordplay.
'communist' becomes 'red' (red can informally mean communist).
'annoyed' becomes 'cross' (cross can mean angry).
'red'+'cross'='RED-CROSS'

Can you help me to learn more?

(Other definitions for red cross that I've seen before include "Medical group" , "Emergency organisation" , "International humanitarian organization" , "International humanitarian organisation" , "International organisation to help wounded in war" .)

I've seen this clue in The Sun.
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