Originally Posted by Archaic Sage

In regards to him not showing affection to her as his daughter, how do we know that she is his daughter. Just because he is the king doesn't automatically mean that he is her daughter, for all we know Tetra could be his great-great-great-granddaughter. Someone that distant to you, you really wouldn't care all that much. Affection comes after knowing them. Not straight away.

I have my doubts that she's the sleeping Princess as it states in the ALttP manual that the King of Hyrule ruled with the entire Triforce, and it was then split. This would not be the case with Daphnes, as he only made a wish and he wasn't a diligent or strong ruler - he gave up his kingdom.