Asude
No. Asude is Persian in origin (آسوده ā-sude) and was adopted into Turkish usage; it is not an original Arabic lexical item.
No. There is no Quranic verse that uses Asude as a proper name; its origin is Persian literary language.
In Turkish the name is typically pronounced close to ah-SOO-deh or AH-soo-de, with stress on the second syllable.
Yes. The adjective āsude is attested in Persian literature and speech; its use as a feminine given name is documented in Persianate and Ottoman naming traditions.
Linguistically it conveys tranquility, contentment, and a composed demeanor—qualities valued in Persianate poetic diction.