Praise be to Allaah.
Firstly: in the cases where she is permitted to recite
Qur’aan, she is also permitted to do Sajdat al-Tilaawah, if she happens to recite or
hear a verse where the sajdah is prescribed. The correct view is that it is permissible
for her to recite from memory, not from the Mus-haf, so on this basis the sajdah is
prescribed for her, because it is not salaah (prayer), rather it is an act of submission
to Allaah and worship, like other kinds of dhikr.
Secondly: the correct view is that it is not a condition for sajdat
al-shukr and sajdat al-tilaawah on the part of one who is reciting or listening, that the
person should be in a state of tahaarah (ritual purity), because they do not come under
the rulings of salaah.
And Allaah is the source of strength. May Allaah bless our Prophet
Muhammad and his family and companions.