Füsun
No. Füsun is of Persian origin and entered Turkish from Persian literary usage; it does not appear in the Qur'an but is used culturally among Muslim communities.
Literally it derives from Persian فسون (fusūn) meaning 'enchantment' or 'spell', used poetically to denote charm or fascination.
Yes. It has no un-Islamic meaning; it is a poetic name from Persian/Turkish culture and is commonly used by Muslims in the relevant regions.
In Turkish pronunciation it is /ˈfysun/, roughly 'fy-soon' where 'ü' is the front rounded vowel like French 'u' in 'lune'.
Füsun is primarily attested in 19th–20th century Ottoman/Turkish literary and civil records rather than as a name of early Islamic figures; it is regionally used and relatively rare.