Praise and thanks are due to Allah and may His choicest salutations and benedictions be upon the holy Prophet of Islam, his family and all companions. To proceed.
It must be noted that there are numerous 'duties' that a female follower of Islam is expected to carry out, on a range of different issues from religious practice, to dress code, to the home, even to how they view the world and interact with its inhabitants. A Muslim woman is expected to follow the basic rules (ie the five pillars) of Islam and to represent the faith in accordance with hadith/ruling through their behavior, their appearance and their lifestyle. For example - modesty in all aspects of life is a primary duty to women (as well as men) in Islam. For a brief and concise outlook on this topic, the following digestive duties of a Muslim woman are given:
1, complete adherence to the observation of the five(5) daily prayers with all its requisites such as observing them at their prescribed times, observing humility in Ruku’(bowing) and sujuud(prostration) and remembering Allah after the completion of the particular salaat as was the sunna(guidance) of our dear Prophet (peace and blessings of Allah be upon him). She is also encouraged to observe the sunan rawaatib( optional prayers observed before and after the obligatory prayers)
2, Obedience to the father or husband if she is married. This obedience is exemplified in responding to their lawful request, being good to them, addressing them with beautiful speech, asking for pardon during shortcomings on her part, executing their command on condition it does not contradict the injunctions of Allah and also being respectful towards them.
3, Training her children if she has any. This is done by teaching children what is beneficial to them, teaching them courtesy and decorum in behavior and manners, teaching them beautiful way of speaking and addressing others especially elderly relation of their family. She must also teach them to abandon vulgar languages, learn how to keep promises, observing personal hygiene and keeping their cloths clean and tidy.
4, Observation of her house chores. Among her duties is for her to observe due diligence in preparing her home so as to make it a domicile of paradise on earth. Nice preparation of her bed, preparation of good meals and dressing up beautifully when her husband is coming home helps much in ensuring this. She should try to pacify her children to silence when her husband is home and keep everything in its right place in the house.
5, Acquiring knowledge through education
The Messenger of Allah (peace and blessings of Allah be upon him) once said: "Acquiring knowledge is compulsory for every Muslim. (At-Tabarani)
This narration applies equally to men and women. "Knowledge" in this context refers primarily to knowledge of the Holy Quran and Sunnah as no Muslim should be ignorant of his or her Faith, but it also covers other areas of general education, which can contribute to the welfare of civilization. It is precisely the ignorance about their religion among Muslims that has led to men oppressing women because they believe it is permitted, women not demanding their God-given rights because they are ignorant of them, and children growing up to perpetuate their parents' follies. Throughout Islamic history, men and women both earned respect as scholars and teachers of the Faith. The books of Rijal (Reporters of Hadith) contain the names of many prominent women, beginning with Aishah and Hafsah-the blessed mothers of the believers- may Allah be please with them and their fathers.
6, Participation in Extending Co-operation for the Promotion of Good and Elimination of Evil.
The Holy Quran deals with this subject in clear terms:
وَالْمُؤْمِنُونَ وَالْمُؤْمِنَاتُ بَعْضُهُمْ أَوْلِيَاءُ بَعْضٍ ۚ يَأْمُرُونَ بِالْمَعْرُوفِ وَيَنْهَوْنَ عَنِ الْمُنكَرِ وَيُقِيمُونَ الصَّلَاةَ وَيُؤْتُونَ الزَّكَاةَ وَيُطِيعُونَ اللَّهَ وَرَسُولَهُ ۚ أُولَٰئِكَ سَيَرْحَمُهُمُ اللَّهُ ۗ إِنَّ اللَّهَ عَزِيزٌ حَكِيمٌ
"The believers, men and women, are Awliyaa (helpers, supporters, friends, protectors) of one another; they enjoin (on the people) Al-Ma'ruf (i.e. Islamic Monotheism and all that Islam orders one to do), and forbid (people) from Al-Munkar (i.e. polytheism and disbelief of all kinds, and all that Islam has forbidden); they perform As-Salat (Iqįmat-as-Salat), and give Zakat, and obey Allah and His Messenger. Allah will have His Mercy on them. Surely, Allah is All-Mighty, All-Wise."
In conclusion, it must be made clear that, most of the duties of a Muslim woman are the same as the duties of a Muslim man especially what has to with her responsibilities towards her Creator, her Prophet, her religion and Muslim society local and global, except in what has to do her being as a woman. She must keep in mind that the observation of her duties as stated above counts part of worship if she does them with ikhlas(sincerity). This also demands that she seeks knowledge or reads about her duties so as to discharge them properly.