Atefeh
Yes. Atefeh is used by Muslim families, especially Persian-speaking communities; it derives from an Arabic root with positive ethical meaning (compassion) and is culturally appropriate for Muslims.
No. The exact personal name Atefeh does not appear as a proper name in the Qur'an, though the Arabic root عاطفة (compassion/affection) occurs in classical Arabic usage and the theme of mercy/compassion is prominent in Qur'anic teaching.
Atefeh is the Persian form of the Arabic name Atifa (عاطفة). It developed in Persian-speaking contexts and is historically attested in modern Persian usage.
The root can produce masculine forms (e.g., Atif, عاطف, meaning 'affectionate'), but Atefeh itself is a feminine form used in Persian.
Atefeh is relatively uncommon globally but familiar within Iran, parts of Afghanistan and among Persianate Urdu speakers; it ranks low on broader international popularity lists.