The reciting of the Qur’an by a menstruating woman either via direct looking or silently (in her heart) without the actual uttering by the tongue is permissible. The majority of the scholars are with the opinion that it is not prohibited for her to utter the Qur’anic recitation.
Imam Bukhari, Ibn Jareer AtTabaree and Ibn Al-Munthir, Imam Malik, and Imam Ash-Shaafi’ee (in one of his earlier sayings) are with the opinion that it is permissible for her to recite the Ayah (verse in the Qur’an). Shayekul Islam Ibn Taymeeyah said:
“Basically, there is no Sunnah to prevent her from reciting Qur’an. The “hadeeth” that: “A menstruating woman and the one who is in state of Jannabah should not recite anything of the Qur’an”, is a weak hadeeth as agreed upon by the knowledgeable scholars of Hadeeth.
In fact women at the time of the Prophet sallallahu alayhi wasallam used to have their monthly cycles of menses. Had the recitation of Qur’an been prohibited for them (as it is the case with Salat) then the Prophet sallallahu alayhi wasallam would have made it clear to his Ummah (Islamic community) and his wives would have known about it and they would have dissipated this knowledge to the people.
Because no one had related a prohibition by the Prophet sallallahu alayhi wasallam about this issue, then it cannot be made unlawful especially when it is known that he sallallahu alayhi wasallam did not prohibit it at the time when menses was very much present.
Accordingly, recitation by the tongue is not Haram (legally unlawful) This author said: “having known the dispute between the scholars about this matter, then it is more proper for the menstruating woman not to recite Qur’an by the tongue except when it is necessary e.g. if she is a teacher or if she is preparing for an exam.
[NATURAL BLOOD OF WOMEN By Shayekh Muhammad bin Salih Al-Utheimeen, Chap 4, Laws of Menses]