Fortunately there is a lot of stuff in this room. Jump over the rows of boxes to get away from the guards.
The guards will be forced to run around the boxes giving Kai the time she needs to take one or two of them out. Do this again and again until all of the guards are dead.
There are a couple life pots around if you get low on health. Each set of guards will come from a door. When all of the guards are dead proceed through the last door.
You will find a wheel to spin at the end of that area that will open another door, and complete this section.