Hungry strict religious group given food outside (8)

I believe the answer is:

famished

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'hungry' is the definition.
('famished' can be similar in meaning to 'hungry')

'religious group given food outside' is the wordplay.
'religious group' becomes 'amish' (I've seen this before).
'given food' becomes 'fed' (I've seen this before).
'outside' indicates putting letters inside.
'amish' going within 'fed' is 'FAMISHED'.

'strict' is the link.
I am not very happy about this link. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for famished that I've seen before include "Is fed ham, being very hungry" , "Ma fished, being starved" , "Extremely hungry" .)

I've seen this clue in The Telegraph.

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