Kohl and perfume while fasting, and women going out wearing perfume

I was wondering if it's permissible for a woman to wear just kohl while fasting? As well, can body spray (not perfume or containing alcohol) be worn if one smells of odours after a work-out while out in public (school)? How about Ithar? Can it be permissible during Ramadan and after the Holy month?

Walaikum assalam wa rahmatullah,

I pray this finds you in the best of health and spirits.

It is permitted to apply kohl and oil (and other cosmetics a), without dislike, when fasting. [al-Fatawa al-Hindiyya; Ibn Abidin, Radd al-Muhtar] Perfume has the same rulings when fasting.

However, it is not permitted for women to go out wearing perfume, because the Messenger of Allah (peace and blessings be upon him) firmly forbade it in rigorously authenticated hadiths. Deodorant and creams that have a light scent -- such that it isn't obviously discernable to others unless they get really close -- are permitted; however, women should avoid heavily scented personal care products.

Wassalam,
Faraz Rabbani

في الهندية:
ولا يكره كحل , ولا دهن شارب كذا في الكنـز

قال ابن عابدين (رحمه الله تعالى) في رد المحتار:
كلا من الكحل والدهن غير مكروه