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.
Responding to your question, Sheikh Ahmad Kutty, a senior lecturer and an Islamic scholar at the Islamic Institute of Toronto, Ontario, Canada, states:
A Muslim woman can cut her hair provided she avoids a hairstyle peculiar to men. The Prophet Muhammad (peace be on him) has cursed men who copy women and women who copy men. This applies to hairstyle and appearance.
So long as she avoids this, she is permitted to cut her hair. There is no prohibition in the sources. We should remember that originally the rule is permission; prohibition is only an exception.
However, we must add a word of caution. A Muslim woman is required to cover her head and not expose it except to her husband or her mahram (a person whom she cannot marry).
Almighty Allah knows best.
Source: Askthescholar.com