Cut the French introduced to suit Goethe’s heroine (5,6)

I believe the answer is:

filet mignon

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'cut' is the definition.
(filet mignon is a kind of cut)

'the french introduced to suit goethe's heroine' is the wordplay.
'the french' becomes 'le' ('the' in French).
'introduced to' means one lot of letters goes inside another.
'suit' becomes 'fit' (synonyms).
'goethe's heroine' becomes 'mignon' (I can't justify this - if you can you should believe this answer much more).
'le' put inside 'fit' is 'filet'.
'filet'+'mignon'='FILET MIGNON'

Can you help me to learn more?

(Other definitions for filet mignon that I've seen before include "Small tender boneless cut of beef" , "Tender piece of beef" , "steak" .)

I've seen this clue in The Times.

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