One advising young woman to drop married name (4)
I believe the answer is:
aide
'one advising young woman to drop' is the definition.
The answer is a person as well as being a singular noun. This is suggested by the definition.
'married name' is the wordplay.
'married' becomes 'ai' (I can't justify this - if you can you should give a lot more credence to this answer).
'name' becomes 'De'.
'ai'+'de'='AIDE'
Can you help me to learn more?
(Other definitions for aide that I've seen before include "one helping" , "a help" , "Leader's assistant" , "Military officer acting as assistant" , "Confidential assistant or advisor" .)