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]
(..) and that's it. You're done. Fashion is not about utility. An accessory is merely a piece of iconography... used to express individual identity. - Oh! And it's pretty. - That too. Yeah. But the thing is, it turns out there is more to Runway than just fancy purses. (..)2006 The Devil Wears Prada