Why didn’t Pharoah object to his daughter raising Moses, a Hebrew, under his roof as her own son?

Pharoah’s daughter took in a Hebrew baby and raised him as a son. Her father, the Pharoah, was trying to kill the new-born Hebrew male children because the Hebrews were multiplying so quickly. I also gather that the Hebrews looked much different from the Egyptians?

Wouldn’t her father have objected to his daughter, raising one of his “enemies” under his own roof as her son? I’m wondering what kind of dialog went on between father and daughter? Did Pharoah finally relent and let her keep the baby just to appease her? Did Pharoah figure that keeping this one child alive could bring no harm? What do you think happened between father and daughter on this day?

Exodus 2:8-10
8 And Pharaoh’s daughter said to her, “Go.” So the maiden went and called the child’s mother. 9 Then Pharaoh’s daughter said to her, “Take this child away and nurse him for me, and I will give you your wages.” So the woman took the child and nursed him. 10 And the child grew, and she brought him to Pharaoh’s daughter, and he became her son. So she called his name Moses, saying, “Because I drew him out of the water.”