Worry about race (4)
I believe the answer is:
'worry' is the definition.
(eg without a care means without a worry)
'about race' is the wordplay.
'about' indicates anagramming the letters.
'race' is an anagram of 'CARE'.
(Other definitions for care that I've seen before include "Protective custody" , "Caution; keeping" , "Have concern or regard" , "Mind" , "Attention - caution U protection" .)