Rector lied badly, irked (5)
I believe the answer is:
riled
'irked' is the definition.
(I've seen this in another clue)
'rector lied badly' is the wordplay.
'rector' becomes 'r'.
'badly' indicates anagramming the letters (letters in the wrong order).
'lied' is an anagram of 'iled'.
'r'+'iled'='RILED'
(Other definitions for riled that I've seen before include "Made angry" , "Irritated, provoked" , "Annoyed" , "Vexed" , "Nettled" .)