In Islamic tradition, it is generally required for a female pilgrim to perform Hajj with a mahram, a male relative whom she cannot marry due to blood relation or marriage. This requirement is based on the principle of protection and preservation of a woman’s honor and safety during the journey.

However, there are some exceptional cases where a woman may be allowed to perform Hajj without a mahram. For example:

1. If a woman is elderly and unable to travel alone, she may be allowed to join a group of female pilgrims or perform Hajj with a trustworthy female companion.

2. If a woman is traveling for Hajj with a group of other women and there is a male guardian overseeing the group, she may be allowed to perform Hajj without a mahram.

3. If a woman is a widow or divorced and has no male mahram, she may be allowed to perform Hajj with a group of other women.

However, it is important to note that performing Hajj without a mahram is generally not recommended unless there is a genuine need and all necessary precautions have been taken to ensure the woman’s safety and well-being. It is important for female pilgrims to seek guidance from Islamic scholars or authorities before making any decision to perform Hajj without a mahram.