Aid workers, looking embarrassed and annoyed (3,5)
I believe the answer is:
red cross
'aid workers' is the definition.
'looking embarrassed and annoyed' is the wordplay.
'looking embarrassed' becomes 'red' (I've seen this before).
'and' is a charade indicator (letters next to each other).
'annoyed' becomes 'cross' (I've seen this before).
'red'+'cross'='RED-CROSS'
(Other definitions for red cross that I've seen before include "organisation offering aid" , "Intl. relief agency" , "International humanitarian organization" , "seen flying across the country on April twentythird" , "International organisation for treatment of wounded in war" .)