Her mom is way too possessive, but i'm not sure he should be intervening here. He needs to figure out his own daughter before he can help her figure out her mother.
Her mother isn't really a parent given how she emotionally tortures her daughter. And daughter of MC also shouldn't interfere with love life of her father. It is just sad that families like that exist in real life.
2 chapters earlier he was completely devastated and on the verge of losing his mind over runaway daughter, but after looking through some photos, he instantly warms up to a person, who was basically a culprit of discord. Yeah, not buying it.