Tolerate offer in A&E (5)
I believe the answer is:
abide
'tolerate' is the definition.
(synonyms)
'offer in ae' is the wordplay.
'offer' becomes 'bid' (bid is a kind of offer).
'in' is an insertion indicator.
'bid' inserted inside 'ae' is 'ABIDE'.
(Other definitions for abide that I've seen before include "lodge" , "Endure, tolerate" , "Bear, endure" , "live in the past?" , "'. . . . . with me, fast falls the eventide'" .)