Non-physical complaint head of medicine dismissed wrongly (8)

I believe the answer is:

platonic

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'non-physical' is the definition.
(as in a Platonic relationship)

I don't understand the rest of the clue.

(Other definitions for platonic that I've seen before include "Non-physical" , "(Of love) intimate but not sexual" , "sort of solid" , "Without physical desire" , "Latin cop in kind of non-sexual romance" .)

I've seen this clue in The Guardian.

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