Crossword Genius

Embarrassed-looking Conservative in left-wing stronghold once (3,6)

Ross

I believe the answer is:

red square

I'm a little stuck... Click here to teach me more about this clue!

'left-wing stronghold once' is the definition.
I don't know anything about this answer so I can't judge whether this works.

'embarrassed-looking conservative' is the wordplay.
'embarrassed-looking' becomes 'red' (I've seen this in another clue).
'conservative' becomes 'square' (I've seen this before).
'red'+'square'='RED SQUARE'

'in' is the link.

Can you help me to learn more?

(Other definitions for red square that I've seen before include "Heart of capital" , "Tourist attraction of Moscow" , "Moscow area" , "Moscow landmark" , "Central scarlet rectangle in Moscow" .)

I've seen this clue in The Times.
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