At party we embarrassed famous lawman (5,4)
I believe the answer is:
wyatt earp
'famous lawman' is the definition.
I know nothing about this answer so I can't judge whether this works.
'at party we embarrassed' is the wordplay.
'embarrassed' indicates an anagram (embarrass could historically mean to complicate).
'at'+'party'+'we'='atpartywe'
'atpartywe' with letters rearranged 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" .)