Crossword Genius

At party we embarrassed famous lawman (5,4)

Ross

I believe the answer is:

wyatt earp

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'famous lawman' is the definition.
I know nothing about this answer so I can't tell whether this works.

'at party we embarrassed' is the wordplay.
'embarrassed' is an anagram indicator (embarrass could historically mean to complicate).
'at'+'party'+'we'='atpartywe'
'atpartywe' anagrammed gives 'WYATT EARP'.

Can you help me to learn more?

(Other definitions for wyatt earp that I've seen before include "Participant in the gunfight at the OK Corral" , "Victor at the 1 down" .)

I've seen this clue in The Times.
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