Why is he suing you? Eui still ringing the question. The reason Kyu asked her for a divorce, what was it? She cannot be sure. Maybe Kyu is tired, fed up with him, or he already has another woman. Eui doesn't really know and doesn't try to figure it out. For her, Kyu's request is indeed the best way out for their relationship that has been very cold for the past two years.
Five years of marriage, without having a child, made the atmosphere at home feel lonely and boring. Eui chooses to travel to different countries every month to get rid of that boredom. She goes alone because Kyu is busy with his work as well. The last two years, their relationship has been that cold. Then three months ago Kyu put the divorce suit for Eui to sign on their dinner table.
Eui knew that sooner or later it would happen, and she understood that it was the best way for their problems, at that time.
Does Eui still love him?