Dessert terrible? Blame cheap ingredients! (5,5)

I believe the answer is:

peach melba

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

'dessert' is the definition.
(I know that Peach Melba is a type of dessert)

'terrible? blame cheap ingredients' is the wordplay.
'blame cheap' can be anagrammed to 'PEACH MELBA'.
Though, I'm unsure how this is indicated.

Can you help me to learn more?

(Other definitions for peach melba that I've seen before include "fruity dessert" , "Ice cream dish with fruit" , "Sweet" , "Dame Nellie's dish" .)

I've seen this clue in the Sydney Morning Herald.

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