A lone minaret, that is: I could not find a mosque. It is in the Straight Street where I walked about a bit. The proper English name is unclear, it's Minaret Tallow on Google maps, the Arabic translates as grease, or oil, or something of that ilk.

In Ross Burns' Damascus, A history, I read this is the Ma'danat al-Shahm (1368-69), and that it is built on a probably Roman plinth. It formerly marked a crossing of streets as a tetrakionion.