She won't divorce him , she'll ask for a divorce and leave the palace, and after he agrees for a divorce he'll decide that he doesn't actually want a divorce and that he wants to win her back. Which will start a journey of redemption and in the end after a lot of twists and turns they'll be back together
Spoiler text. she will have a miscarriage then the divorce but the good spoiler gladdis whole reputation will be destroyed step by step let me tell you the ml redemption arc in my opinion is very short but was enough to break his arrogance she refused to see him after the divorce for like some days idr but in the end they will have twins (side stories were dripped honey ) ml sister will ask forgiveness