Women’s Section of Western Wall Closed

Correct me if I'm wrong, but isn't the Dung Gate how you enter the plaza, not anywhere near the women's section? The only wall near the women's section is the Western Wall itself, not any of the gates to the Old City, right? I know, I've been gone a few weeks but I don't think I forgot everything...or did I?

Also, isn't it amazing that there are worshipers at the Wall in the middle of the night!?!