There is nothing wrong with a menstruating woman entering al-Madeenah al-Munawwarah
Question Is it permissible for a woman to enter the sanctuary of Madeenah when she is menstruating? What should she do if she is menstruating and she enters the city of the Messenger of Allaah (peace and blessings of Allaah be upon him)?. Answer Praise be to Allaah. Menstruating women are not forbidden to enter Makkah or Madeenah. There is nothing in the texts to suggest that they are not allowed to enter these cities. Rather the texts indicate the opposite. The women who come for Hajj and ‘Umrah can be menstruating and the only thing that they are not allowed to do is to circumambulate the Ka’bah. ‘Aa’ishah (may Allaah be pleased with her) was with the Prophet (peace and blessings of Allaah be upon him) during the Farewell Pilgrimage and she got her menses before she entered Makkah, but he (peace and blessings of Allaah be upon him) did not tell her not to enter the city until she became pure (her period ended)! Rather he told her to do all the rituals of Hajj except for Ta...