Care about the competition (4)
I believe the answer is:
race
'the competition' is the definition.
(race is a kind of competition)
'care about' is the wordplay.
'about' indicates anagramming the letters.
'care' is an anagram of 'RACE'.
(Other definitions for race that I've seen before include "Competitive speed trial" , "See 23" , "Contest; zoom" , "Career - people" , "People; dash" .)