Is it permissible to study family law? What are the conditions? What if the person wishing to study it is a female? Please answer in detail.

It appears from your question that you wish to study and practice family law. If so, it is clear that Family law according to the Shari'ah is different from the law of the land and you will be bound by your qualifications and practice. In principle, it is not permissible to practice any law contrary to the Shari'ah. Kindly find attached our standard reply on Lawyers/Advocates. and Allah Ta'ala Knows Best Mufti Ebrahim Desai