What should a woman do if she gets her menstrual period while performing the rituals of Umrah, and which rituals should she perform and which should she not?

If a woman enters into a state of Ihram while she is menstruating, she performs all the rituals that a pilgrim (Hajj or Umrah) performs, but she does not circumambulate the Kaaba until she becomes pure. She can remember Allah, supplicate, and recite the Talbiyah.