"A small portion of the Western Wall of the Temple Mount is exposed in a courtyard in the Muslim Quarter.  The government of Israel has now declared that it is not subject to the protections given to a “holy site.”  From Arutz-7:

The State’s representatives have determined that the "Kotel HaKatan" ("Small Kotel" or "Small Wailing Wall"), a wall which is a continuation of the Kotel in Jerusalem, is not a holy site. The statement was submitted to the court as part of the reply to a damages lawsuit filed by a group of Jews who prayed at the Small Kotel on Rosh HaShana of 5767 (2006). One member of the group, Elihu Kleiman, was arrested after he blew the ram’s horn, or shofar. The group of Jews who sued for damages also said they were beaten by police, who denied them their freedom to worship at a holy site.
The "Small Kotel" is nothing but "an inner courtyard of several residential homes in the Muslim quarter," the State determined in its response. Like the Kotel, the Kotel HaKatan is an exposed face of the original western wall of the Temple Mount, built by King Herod over 2,000 years ago. However, compared to its famous "bigger brother," the Small Wall is less accessible and looks less impressive: it is barely 10 meters long, less of its height has been exposed and its plaza is much narrower.

The story continues here.  Leen Ritmeyer has commented about the site previously here.