Crossword Genius

Drug injected by more embarrassed member of stag party? (3,4)

Ross

I believe the answer is:

red deer

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'member of stag party?' is the definition.
Although both the answer and definition are singular nouns, I don't see how one could define the other.

'drug injected by more embarrassed' is the wordplay.
'drug' becomes 'e' (E is another name for ecstasy).
'injected by' means one lot of letters goes inside another (I've seen this in other clues).
'more embarrassed' becomes 'redder' (someone may go red from embarrassment).
'e' put within 'redder' is 'RED DEER'.

Can you help me to learn more?

(Other definitions for red deer that I've seen before include "Large-antlered animal" , "source of venison" , "Common stag or hind" , "Large grazing animal of temperate Europe and Asia" , "Does perhaps" .)

I've seen this clue in The Telegraph.
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