Demoralise with the sardine dish (10)

I believe the answer is:

dishearten

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'demoralise' is the definition.
(thesaurus)

'the sardine dish' is the wordplay.
'the sardine' can be anagrammed to 'DISHEARTEN'.
But, I'm unsure how this is indicated.

'with' is the link.

Can you help me to learn more?

(Other definitions for dishearten that I've seen before include "Put a damper on" , "Cause (someone) to lose confidence" , "dismay?" , "cast down" , "Take hope from" .)

I've seen this clue in the Irish Times.

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