The moment she saw the stranger appear in front of her, Lady Despair materialized a sharp, crystalline ice spear and threw it at her target.
Using the force of the recoil, she attempted to break through the back of the carriage and into the street.
With regards to this sudden turn of events, she was puzzled at this strange enemy who suddenly appeared. On the contrary, she was very confused and perplexed as to how someone could find her concealed self so quickly. It was no less difficult than destroying a large city, or teleporting directly from Backlund to the Southern Continent of East Balam.
But as a Sequence 4 Demoness of Despair, she had developed herself one step at a time from when she was an Assassin. She knew that she couldn't afford to be distracted or spout nonsense at such critical moments. It wasn't too late to think about all these matters later.
Therefore, she chose to attack directly and wanted to take the opportunity to leave.