Egotistical end reflects badly (4-7)
I believe the answer is:
self-centred
'egotistical' is the definition.
(I've seen this before)
'end reflects badly' is the wordplay.
'badly' indicates anagramming the letters.
'end'+'reflects'='endreflects'
'endreflects' is an anagram of 'SELF-CENTRED'.
(Other definitions for self-centred that I've seen before include "Wrapped up in oneself" , "oblivious to others?" , "Egotistical" , "Preoccupied with one's own affairs" , "Preoccupied with one's own concerns" .)