Name adopted by woman or man (5)
I believe the answer is:
norma
'name' is the definition.
'adopted by woman or man' is the wordplay.
'adopted by' says the answer is hidden in the clue.
'NORMA' can be found hidden inside 'woman or man'.
(Other definitions for norma that I've seen before include "Female" , "Outdoor function" , "Girl" , "Girl's name - may be Roman" , "Marilyn was properly one" .)