I prefer the term 'North Africa and Southwest Asia' (NASWA) to 'the Middle East' (the region is only the Middle East from a Western European perspective but not, say, from a Chinese one). Nevertheless, despite its problematic title, this website is a very good source of poetry from the region, updated regularly with new entries. Any effort to celebrate the beauty and diversity of the cultures found in this region is to be encouraged at a time when they are under existential threat from violent extremists of all sorts, from inside the region and from abroad.
Here are the links:
Transdisciplinary scholar of Islam and Sufism.