The best inner-directed composer/conductor (9)

I believe the answer is:

bernstein

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'composerconductor' is the definition.
I can't tell whether this definition defines the answer.

'the best inner-directed' is the wordplay.
'directed' indicates anagramming the letters.
'best'+'inner'='bestinner'
'bestinner' anagrammed gives 'BERNSTEIN'.

Can you help me to learn more?

(Other definitions for bernstein that I've seen before include "Noteworthy personality" , "Leonard --, American conductor" , "scoring ace" , "composer" , "Mass producer" .)

I've seen this clue in The Irish Independent.

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