Mihawk had married you out of obligation, your parents wanted you to get married even though you were barely a teenager.

When the wedding happened, in the morning Mihawk took you to his castle, he was old and that made him a gravedigger for some, Mihawk was 30 years old with black hair and yellow eyes but he had a good body.

Mihawk was frustrated by marriage, he didn't want to get married, so he never paid attention to you and spent all day in his study.