This is spoilery for anyone who hasn't really explored the missions in First Ward reading this, so be aware before you dig further into this topic.
The elite boss, Dominatrix, who appears after you interact with the wooden chest in the mission ends up staying at the doorway she appeared in, and simply does nothing. I don't know if this was intentional or not.
Here's basically what happened in video format.
I was able to progress later in the mission otherwise after fulfilling her conditions to damage her enough.
