Disclaimer: WE DO NOT ISSUE OUR OWN FATWAS AND THIS SERVICE IS PROVIDED TO LINK PEOPLE TO QUALIFIED ANSWERS ONLY. YOU SHOULD ALWAYS GET YOUR FATAWAA FROM RELIABLE SCHOLARS.
Is it permissible for a woman to recite Quran while she is menstruating?
http://askimam.org/public/question_detail/35074 (Hanafi view – I suggest you follow this opinion, as Hanafi rulings are the most easily available for English speakers)
https://islamqa.org/shafii/shafiifiqh/30007 (Shafi’i view)