Benazir
Literally, Benazir means 'without equal' or 'incomparable', from Persian roots.
Benazir is Persian in origin and widely used in Urdu-speaking Muslim communities; it is not originally Arabic nor Quranic.
Benazir is most commonly used in South Asia (Urdu, Persianate circles) and among families influenced by Persian literary naming practices.
In modern history, a well-known bearer of the name is Benazir Bhutto, whose public life increased international awareness of the name.
Yes; Benazir is used by many Muslim families and is acceptable culturally, though it is not a name from the Quran and has Persian literary roots.