I Caught the Male Lead on a Deserted Island

I have been living alone on a deserted island for two years. However, one day, a man was caught on my fishing rod. [???] -Caught on the fifth year, spring, day 8. -Length: 183cm, weight: 74kg. With his striking silver hair and incredibly handsome appearance, this man somehow ended up being recorded in my fish catalog. And as it turned out, he was none other than the male lead (a bad guy) from a novel I liked. However, despite his charming smile, polite demeanor, and seemingly shy nature, I quickly saw through his act. I politely attempted to send him away, not wanting to get entangled with him. “No, I won’t go. You just let me live freely, and now you want to kick me out? Take responsibility.” “W-Well, I mean… I’ll take responsibility and send you back, okay?” “Ah, I made a mistake. I meant to say that since you saved me, I’ll take responsibility and repay the favor. Even though I may look like this, I’m skilled in physical work. Please give me any task.” He keeps insisting on taking responsibility and staying by my side. Oh no, no. I don’t need you to repay any favors, so please leave! I don’t want to get involved with you!