females do not directly look for a male that can properly hold a baby since that isn't the work that nature left to them

beware of the feminists around here although I think you saved it in the end :P (I hope you don't mind my humor)

Sapiosexual? The term sounds funny to me (in Greek sapio means rotten, but in latin it means intelligent).
To answer your question, I have to admit a man's high intelligence is a must for me (and so is good humor).