Can You Do Sujud At-Tilawah Whilst Menstruating?
Question

Is it permissible for a menstruating woman to do Sajdat Al-Tilawah and Sajdat Ash-Shukr? If it is not permissible, is it permissible for her just to say Subhan Allah if she hears an Ayah in which a Sajdah is prescribed?
Praise be to Allah.Can you do Sujud At-Tilawah Whilst mensturating?
The Standing Committee for Academic Research and Issuing Fatwas said:
“In the cases where a menstruating woman is permitted to recite the Quran, she is also permitted to do Sujud At-Tilawah , if she happens to recite or hear a verse where the Sajdah is prescribed. 
The correct view is that it is permissible for a menstruating woman to recite the Quran from memory, not from the Mus-haf (Quran hard copy). So on this basis, the Sujud is prescribed for her , because it is not prayer, rather it is an act of submission to Allah and worship, like other kinds of Dhikr.
Is Wudu necessary for Sujudt At-Tilawah?
The correct view is that (Wudu) it is not a condition for Sujud Ash-Shukr and Sujud At-Tilawah. It is not mandatory for the one who is reciting or listening to be in a state of ritual purity , because they do not come under the rulings of prayer.
And Allah is the source of strength. May Allah bless our Prophet Muhammad and his family and companions.”
And Allah knows best.