She did not want to be known only as the wife of her husband. She insisted on having her own 'identity'. [=on being known for her own qualities, achievements, etc.]
The face of the witness was hidden in order to protect her 'identity'. [=to keep her name from being known]
He has a strong sense of personal 'identity'. [=a strong feeling about exactly the kind of person he is]
(..) rumors of his birth. If they were to reach Aella... Where are you sending him? To Italy. To be tended by monks... who will not know his identity. But his life will be safe... and yours, too. Father Godwin! The pommel stone of the sword Requiter. (..)1958 The Vikings