I thought that Islam gave women the right to divorce but this answer on an Islamic website is saying that women can not. It says that if they wanted to they would have to make a request and take their husband’s permission but they can’t actually divorce themselves. I may be misunderstanding this, can someone please explain?
Divorce in Islam has different forms.
Talaq الطلاق which usually is meant when people speak of divorce. This is widely covered in the qur'an and lies in the hand of the husband.
Khula' الخلع which is simply speaking a Form with which a woman can buy herself free from a marriage. A court is usually necessary for the procedure.
Annulation or faskh الفسخ which also requires a court. In order to annul the marriage contract.