Conversation so far:
Who was the T.E. Lawrence strategy  against?
The T.E. Lawrence Strategy was against the Ottoman Empire.
What was the T.E. Lawrence strategy against the Ottoman empire?
The T.E. Lawrence strategy was to avoid capturing Medina, and to extend northwards through Maan and Dera'a to Damascus and beyond.

Question: Why did their enemies want to capture Medina?
Self-contained rewrite: Why did T.E Lawrence's  enemies want to capture the city of Medina?