pls help me find this manhwa

I'VE BEEN TRYING TO LOOK FOR IT BUT BRUV WAS IT HARD, I CAN'T REMEMBER THE TITLE BCS I'VE READ TOO MUCH

so, it's historical-themed, going back in time/regression shz

the story goes like the fl married a duke bcs the emperor wanted her to do so, not knowing the emperor was just using her and didn't actually love her. so, when she was already married, the emperor married another woman and she was devastated. shit happened, she had sex with the duke and had a daughter. she really loved their daughter, and iirc there's something abt their child that made the emperor want to use her. oh, and also, the fl is a mage/witch. the ml is the duke, ofc, with white hair ╥﹏╥

i can't remember much but that's the gist, i hope i can find it, there's something in it i really want to recall ╥﹏╥