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As enjoyed by a sick celebrity? (3,4)

Ross

I believe the answer is:

ill fame

I'm a little stuck... Click here to teach me more about this clue!

'as enjoyed by a sick celebrity?' is the definition.
I can't judge whether this definition defines the answer.

'by a sick celebrity?' is the wordplay.
'by' says to put letters next to each other.
'a sick' becomes 'ill' (I've seen this in another clue).
'celebrity?' becomes 'fame' (celebrity can mean the quality of being famous).
'ill'+'fame' is 'ILL-FAME'.

Can you help me to learn more?

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

I've seen this clue in The Globe and Mail.
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