Crossword Genius

Be embarrassed by a Marxist study (6)

Ross

I believe the answer is:

redden

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'be embarrassed' is the definition.
I can't tell whether this defines the answer.

'by a marxist study' is the wordplay.
'by' says to put letters next to each other.
'a marxist' becomes 'red' (red can mean a leftwing person).
'study' becomes 'den' (term for a study or office).
'red' put next to 'den' is 'REDDEN'.

Can you help me to learn more?

(Other definitions for redden that I've seen before include "Blush like the dawn sky" , "Give visible sign of embarrassment" , "Reveal embarrassment in colourful way" , "Blush, colour accordingly" , "Evaluate the nature of (something)" .)

I've seen this clue in The Globe and Mail.
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