Crossword Genius

Made a bid on rotten egg, openly embarrassed (7)

Ross

I believe the answer is:

offered

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'made a bid' is the definition.
(I've seen this before)

'on rotten egg openly embarrassed' is the wordplay.
'on' is a charade indicator (letters next to each other).
'rotten' becomes 'off' (rotten food is 'off').
'egg openly' becomes 'e' (I can't justify this - if you can you should give a lot more credence to this answer).
'embarrassed' becomes 'red' (I've seen this before).
'off' next to 'e' is 'offe'.
'offe'+'red'='OFFERED'

Can you help me to learn more?

(Other definitions for offered that I've seen before include "Volunteered" , "put on the market" , "Tendered" , "Made available" , "Put forward" .)

I've seen this clue in the Sydney Morning Herald.
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