Notable person I'm irritated to back (4)
I believe the answer is:
star
'notable' is the definition.
(thesaurus)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for star that I've seen before include "Brilliant person" , "Distant sun" , "Pointed symbol" , "White blaze on a horse's forehead" , "appear above others?" .)