Gathers European rejected honour (6)
I believe the answer is:
esteem
'honour' is the definition.
(esteem is a kind of honour)
'gathers european rejected' is the wordplay.
'gathers' becomes 'meets' ('meet' can be a synonym of 'gather').
'european' becomes 'e' (abbreviation e.g. EU).
'rejected' is a reversal indicator.
'meets'+'e'='meetse'
'meetse' back-to-front is 'ESTEEM'.
(Other definitions for esteem that I've seen before include "Respect and admiration" , "Floor covering" , "gain respect" , "Rate highly" , "Respect, admire" .)