Angry, annoyed (5)
I believe the answer is:
irate
I believe this is a double definition.
'angry' is the first definition.
(irate can mean angry or annoyed)
'annoyed' is the second definition.
(I've seen this before)
(Other definitions for irate that I've seen before include "Wrathful" , "Indignant, angry" , "Not happy" , "Wild" , "Angry - furious" .)