Woman’s book followed by celebrity alternative practitioner (9)
I believe the answer is:
herbalist
'alternative practitioner' is the definition.
(practitioner of alternative medicine)
'woman's book followed by celebrity' is the wordplay.
'woman's' becomes 'her' (belonging to a woman).
'book' becomes 'b' (abbreviation for book).
'followed by' says to put letters next to each other.
'celebrity' becomes 'alist' (I've seen this before).
'her'+'b'+'alist'='HERBALIST'
(Other definitions for herbalist that I've seen before include "Early botanical writer" , "He dispenses simple cures" , "simple job" .)