Answer

In the Name of Allah, Most Gracious, Most Merciful. 

All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.

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In this fatwa:

 There is nothing wrong if women cut hair or nails during their menses.

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Answering your question, Sheikh Mustafa Umar, President of California Islamic University, states:

When a woman is menstruating, she is not allowed to pray, fast, recite the Quran, enter a mosque except for a necessity, have intercourse, or touch a copy of the Quran. She is allowed to do other things such as cutting her hair and nails.

Almighty Allah knows best.