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]
(..) We've named the operation Witchcraft. Oh, Percy and his pals bypassed us, Smiley. Gone straight to the minister. Percy has been allowed to keep the identity of his new friend top secret. The minister agrees too many secrets are blown around here. Too much failure, too many scandals. (..)2011 Tinker Tailor Soldier Spy
(..) Better come in. Trust no one, Jim. Especially not in the mainstream. Sit down. I understand you still have one Hungarian identity running? I do. I want you to go to Budapest. 'This is not above board. 'Nobody else knows. 'They're after my head, Jim boy. (..)2011 Tinker Tailor Soldier Spy