Glaring, upset detective overwhelmed by incident (7)
I believe the answer is:
evident
'glaring' is the definition.
(thesaurus)
'upset detective overwhelmed by incident' is the wordplay.
'upset' says the letters should be written in reverse.
'detective' becomes 'di' (Detective Inspector abbreviation).
'overwhelmed by' indicates putting letters inside (inserted letters get absorbed or overwhelmed).
'incident' becomes 'event' (an incident is an event or happening).
'di' back-to-front is 'id'.
'id' going inside 'event' is 'EVIDENT'.
(Other definitions for evident that I've seen before include "on display" , "clearly visible" , "Clearly apparent" , "Quite obvious, easy to see" , "Obvious - 1 across" .)