Gender-specific violence as a reason for asylum and its role during the asylum procedure

In what way can gender-specific violence be asserted as a reason for granting asylum or as a factor that necessitates the prohibition of deportation/the classification as a case of hardship?

Do directives for the protection against violence have any impact on the asylum procedure? If yes, which one?

What happens in the case of a divorce if the residential status depends on (marriage) partners?