Doomed to have poor health? (3-5)

I believe the answer is:

ill-fated

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

'poor health?' is the wordplay.
'poor' becomes 'ill' (I've seen this in another clue).
'health?' becomes 'fated' (I can't justify this - if you can you should believe this answer much more).
'ill'+'fated'='ILL-FATED'

'to have' is the link.

Can you help me to learn more?

(Other definitions for ill-fated that I've seen before include "Destined to fail" , "'Doomed, unlucky (3-5)'" , "Doomed(3.5)" , "Destined for bad luck" , "Yelp like pig" .)

I've seen this clue in The Sun.

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