Assalamu Alaikum Wa Rahmatullah
Is it permissible for a muslim woman to be an Islamic Judge?
بِسْمِ اللهِ الرَّحْمنِ الرَّحِيْم
The judgement of a woman is permissible in everything other than in cases of hadd punishments and qisas. i.e. She cannot be a judge in the hadd punishments or qisas only. 
 Mukhtasar al-Qudoori, Kitaab Adaab al-Qaadhi, p.639
Only Allah Ta’ala knows best
Answered By Aalimah Nasima Umm Hamza
Checked and approved by Ustadha Sabrina
Darul Ifta Birmingham
This answer was collected from DarulIftaBirmingham.co.uk, which is run under the supervision of Mufti Mohammed Tosir Miah from the United Kingdom.