I Caught the Male Lead on a Deserted Island

Summary

Read manhwa I Caught the Male Lead on a Deserted Island / It's already been two years since I ended up living alone on an uninhabited island. Then one day, a man got hooked on my fishing rod. [???] Caught on the 8th day of the 5th year. Height: 183 cm, Weight: 74 kg. Silver hair, incredibly handsome. And just like that, he was registered in my "fish encyclopedia." But it turns out he's the male lead (and a terrible guy) from the novel I loved! If I get involved with this man, my future will turn into a prison-like nightmare! But then "No. I refuse. When you saved me, you didn't ask for my permission, and now you want to kick me out? Take responsibility." "I-I mean, I am taking responsibility by sending you back safely!" "Ah, my mistake. What I meant was: since you saved me, I must repay your kindness. I'm quite skilled with physical labor. Please, order me to do anything you need." This man keeps insisting on staying by my side to "take responsibility." No, seriously I don't need your gratitude! Just leave! I don't want to get involved with you!