Care about one woman (5)
I believe the answer is:
erica
'woman' is the definition.
'care about one' is the wordplay.
'care about' becomes 'eric' (I am not sure about this - if you are sure you should believe this answer much more).
'one' becomes 'a'.
'eric'+'a'='ERICA'
Can you help me to learn more?
(Other definitions for erica that I've seen before include "Plant of the heath genus" , "Woman" , "found on the moors" , "Heather's Latin name?" , "Plant genus of garden heather" .)