Is it permissible according to Shariyat for women to have their own mosque and manage it?

In a Muslim community of Tamilnadu, a group of Muslim elders and religious leaders who adjudicate on matters like divorce, abuse and child custody. The group of Muslim elders and religious leaders have no legal authority but the community can force to accept there judgement. Meeting for judgement happens in mosque, where women are barred entry and cases are decided without there evidence being heard. Woman’s father or brothers represent own daughter or sister. If a woman do not agree with judgement, and go to Indian civil court or police then community go against her. My question is, in this situation what she should do? In the light of women’s right, which is in the Shariyat, not in the light of prestige of relatives, family or community? Q. 2 A woman of Tamilnadu is trying to build a mosque only for women i.e. in that mosque only woman can pray for Allah, and management of mosque will also remain in women’s hands. What says Shariyat about it?