Wouldn’t agree to be given another meal without our people (7)
I believe the answer is:
refused
'wouldn't agree' is the definition.
'given another meal without our people' is the wordplay.
'given another meal' becomes 'refed'.
'without' means one lot of letters goes inside another ('without' can be similar in meaning to 'outside').
'our people' becomes 'us'.
'refed' going around 'us' is 'REFUSED'.
'to be' is the link.
(Other definitions for refused that I've seen before include "Said no (7)" , "Declined, rejected" , "turned down appeal" , "Was unwilling to accept" , "Not accepted" .)