Praise be to Allah.
There is nothing wrong with a menstruating woman or a woman who is bleeding following childbirth reciting the du’aa’s that are prescribed during the rituals of Hajj. There is also nothing wrong with her reciting Qur’aan, according to the correct opinion, because there is no report that clearly states that a menstruating woman or a woman who is bleeding following childbirth is not allowed to recite Qur’aan. Rather it is narrated specifically that one who is junub (in a state of impurity following sexual activity) should not recite Qur’aan when he is junub. With regard to menstruating women or women who are bleeding following childbirth, there is a hadeeth narrated from Ibn ‘Umar which says “The menstruating woman and the one who is junub should not recite anything,” but this is da’eef (weak). But she should recite without touching the Mus-haf, from memory. Based on that, it is more apt that she is allowed to read books in which there are du’aa’s mixed with ahaadeeth and verses from the Qur’aan etc. This is the correct view and it is the more correct of the two scholarly opinions.
From the words of Shaykh ‘Abd al-‘Azeez ibn Baaz (may Allaah have mercy on him).