The episode did explain this. Kuroko mentioned her trauma came from having a bad teleport. She even suggested (and may already know it) that Musujime may have teleported herself within an object. Which happened as well when she fought Accelerator... she teleported towards a glass and one embedded inside of her.
Regarding her breakdown... it came down to her fear and hate of her own powers. She said powers were evil... Kuroko gave her the speech of how powers aren't evil, but those that use them for evil. One speech later and the girl breaks down because she know its right.