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]
(..) leave all of this behind. Just get out of town. Don't look back. Saul knows a man. He specializes in giving people new identities. He would move you someplace far away and set you up with a whole new life. Yeah, I know. (..)2013 TvShow: Breaking Bad Title: Confessions Season: 5 Episode 11