A cover-up in hospital: only a single vaccination (5)

I believe the answer is:

hijab

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'a cover' is the definition.
(I've seen this before)

I can't explain the remainder of the clue.

(Other definitions for hijab that I've seen before include "Cover" , "Muslim head covering" , "Some females may use this" , "Headscarf worn by some Muslim women" .)

I've seen this clue in The Times.

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