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Bet one’s embarrassed to support conduct (7)

Ross

I believe the answer is:

wagered

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'bet one's' is the definition.
'wagered' can be an answer for 'bet' (I've seen this in another clue). I'm not certain of the 'one's' bit.

'embarrassed to support conduct' is the wordplay.
'embarrassed' becomes 'red' (someone may blush or go red when embarrassed).
'to support' is a charade indicator (letters next to each other) (in a down clue, some letters hold others up).
'conduct' becomes 'wage' (I've seen this in another clue).
'red' put after 'wage' is 'WAGERED'.

Can you help me to learn more?

(Other definitions for wagered that I've seen before include "Laid down" , "Gambled" , "Made a bet" , "Placed a bet" , "Staked money" .)

I've seen this clue in The Hindu.
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