Through the nose - that's new to a woman (7)
I believe the answer is:
totally
'through' is the definition.
(thesaurus)
'the nose that's new to a woman' is the wordplay.
'nose' suggests taking the first letters (nose can mean the front of something).
'that's new' indicates anagramming the letters.
'a woman' becomes 'ally' ().
The first letter of 'the' is 't'.
'to' anagrammed gives 'ot'.
't'+'ot'+'ally'='TOTALLY'
(Other definitions for totally that I've seen before include "in every respect" , "perfectly" , "Wholly" , "Altogether" , "Quite" .)