A woman who is going through her monthly cycle is permitted to do all acts of Umrah except for performing Tawaf. This ruling can be found in numerous books of Fiqh. It is narrated in Sunan Abu Dawood Sayyidah Aisha (Allah be pleased with her) says that she experienced menses during Hajj with the Prophet (peace be upon him) and asked him regarding the its ruling, the Prophet (peace be upon him) said; make Ghusl and do all actions of Hajj with the exception of Tawaf.
Allah and His Rasool know best.
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