Answering the question, Sheikh Ahmad Kutty, A Senior Lecturer and an Islamic Scholar at the Islamic Institute of Toronto, Ontario, Canada , states,

“The desire of women to be an author and write about Islamic themes is not only permissible but also encouraged. Women can express themselves through speech and writing as long as they abide by the Islamic ethics. Islamic ethics in speech and writing can be summed up as follows:
1. It should reflect truth and never twist or distort it
2. It should have the sole goal of spreading virtue and morality or benefiting people in this world and the next world without compromising the principles established by Allah.
as long as these goals are kept in mind in theme and presentation, it is ok to write and author books or articles.”

With regard to the question about the inner `awrah of women, it is noted that there is nothing with this name in Islam but it can be used in the meaning of the evil desires and inclinations inside the human soul and the lesions of the self such as miserliness, spite, envy and the like, that one should get rid off them. Indeed, this internal `awrah (in the abovementioned meaning) is the most abominable one that should be removed and veiled.