But it's no aspersion on the score (4)

I believe the answer is:

slur

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'aspersion on the score' is the definition.
'slur' can be an answer for 'aspersion' (synonyms). I am not certain of the 'on the score' bit.

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for slur that I've seen before include "Slight lack of distinction in speech" , "Slight - incoherence in speech" , "Pronounce words indistinctly" , "libel" , "Disparagement" .)

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

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