Badly scheduled just for when you got the flu? (3-5)

I believe the answer is:

ill-timed

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'badly scheduled' is the definition.
(I've seen this before)

I don't understand the remainder of the clue.

(Other definitions for ill-timed that I've seen before include "Badly scheduled" , "Inopportune" , "Happening at a badly chosen moment" , "Done or occurring at an inconvenient moment" .)

I've seen this clue in the Evening Standard.

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