From Halopedia, the Halo wiki
The Broken Lady is a fictional character in Perdita's Story. She is a sideshow freak at the circus, along with the Glass Eater and the Electric Weasels.
She is described as having a voice that sounds like "glass tubes burning out." She wears tattered clothes. Her most defining characteristic is that parts of her body are disconnected, earning her the "broken" title.