Poet rehashed a bluer idea (10)

I believe the answer is:

baudelaire

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'poet' is the definition.
(I've seen this before)

'rehashed a bluer idea' is the wordplay.
'a bluer idea' anagrams to 'BAUDELAIRE'.
Though, I'm not clear how this is indicated.

Can you help me to learn more?

(Another definition for baudelaire that I've seen is " French poet and critic, d. 1867 - audible ear (anag)".)

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