Crossword Genius

I’m going to musical in dodgy rep (3,4)

Ross

I believe the answer is:

ill fame

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'dodgy rep' is the definition.
Although both the answer and definition are singular nouns, I don't see how one could define the other.

'i'm going to musical' is the wordplay.
'i'm going to' becomes 'I'll' ('I'm going to' can mean 'I will' or 'I'll').
'musical' becomes 'fame' (I've seen this before).
'ill'+'fame'='ILL-FAME'

'in' is the link.

Can you help me to learn more?

(Other definitions for ill fame that I've seen before include "A house of . . . . . . . is a brothel" , "celebrity of sorts" , "bad reputation" , "Disrepute" , "bad report" .)

I've seen this clue in The Times.
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