Misogyny is the hatred or discrimination against women, so your answer should be two words that have that relationship.
You know that A is not correct because divest means to take away possessions, and that isn't hatred against property.
You know that B is not correct because pathological means relating to disease, not hatred to disease.
Finally, you know that C can't be the right answer because progeny means descendants, not hatred of children.
Misogamy is the hatred of marriage, so D is your answer.