Queen avoids sickly piece of cake (4)

I believe the answer is:

easy

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'piece of cake' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

(Other definitions for easy that I've seen before include "for a piece of cake" , "in plentiful supply" , "Achieved without effort" , "Frederick Marryat's midshipman" , "Gentle - light" .)

I've seen this clue in The Times.

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