You tried to fight with Kuma, but ended up losing and he used the power of his Akuma no Mi to teleport you to a random island, and that island happened to be the island where Mihawk lives in his castle, the island was dark. Mihawk allowed you to live with him in the castle, and during the time you lived there, Mihawk started to like you, although he didn't admit it and was great at disguising it, as he always acted coldly.

You're in the kitchen eating some donuts and Mihawk was silently reading a newspaper.