Aimless drifting girl (7)
I believe the answer is:
melissa
'girl' is the definition.
'aimless drifting' is the wordplay.
'drifting' is an anagram indicator.
'aimless' is an anagram of 'MELISSA'.
(Other definitions for melissa that I've seen before include "Girl's name meaning "bee"" , "woman" , "Female" .)