Muse sheds a tear with love (5)

I believe the answer is:

erato

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'muse' is the definition.
(I know that Erato is a muse)

'sheds a tear with love' is the wordplay.
'sheds a tear with' becomes 'erat' (I can't justify this - if you can you should believe this answer much more).
'love' becomes 'o' (love means zero in tennis).
'erat'+'o'='ERATO'

Can you help me to learn more?

(Other definitions for erato that I've seen before include "Poetic Muse ; eighteen (anag.)" , "Lyric poetry's muse" , "Muse of lyric love-poetry" , "goddess" , "Inspiring female" .)

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

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