Notice the absence of a young woman (4)
I believe the answer is:
miss
I believe this is a double definition.
'notice the absence of' is the first definition.
(I've seen this in another clue)
'a young woman' is the second definition.
(title for a young woman)
(Other definitions for miss that I've seen before include "Skip" , "Girl - bad shot" , "One is as good as a mile" , "Austria/Italy region" , "teacher's address" .)