Tuhfa
Literally it is the Arabic noun for 'gift' or 'precious present'.
No. 'Tuhfa' as a proper name does not appear as a proper noun in the Quran, though the root and concept of 'gift' occur in Quranic language.
Tuhfa was historically attested in Ottoman-era registers and Bosnian Muslim naming traditions, and appears in classical Arabic literature.
Yes. It denotes a positive meaning and is used historically by Muslim families; there is no religious prohibition on this name.
Common pronunciation is 'TOOH-fa' or 'tuh-fa' with the Arabic ḥ sound: IPA /ˈtuħ.fa/.