Dramatist who invented "Lothario", or we're wrong! (4)

I believe the answer is:

rowe

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'dramatist' is the definition.
Both the answer and definition are singular nouns.
Maybe there's an association between them I don't understand?

'invented lothario or we're wrong' is the wordplay.
'or we' anagrams to 'ROWE'.
Though, I'm unsure how the anagram is indicated.

'who' acts as a link.

Can you help me to learn more?

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