if only the father wasn't such an asshole in her previous life...It doesn't matter if he is the one who asked the blond magician to turn back time (I'm just speculating, I haven't read any spoilers) or whatever, too late dude. He accepted and believed some kid he just met over the daughter he raised and has been around for her entire life...At that point, even if she wasn't his biological daughter, he should've thought of her as his daughter but he is one of those asshole fathers that are all "I'm a noble and I respect the rules so let me fuck up my kid just because...." but he is also an imbecile for falling for that bitch's schemes.
This isn't like "father i don't want to get married" novel where the MC misunderstood her father's superficial coldness as indifference when he truly would die for her, this guy stood there as she was executed. If the author spins the story into "oh he planned to save her" then I'll drop this because there was no hint that he did. He wasn't just cold to her, he was a true asshole so there is no saving him