Its antonym is philogyny, the love, respect for and admiration of women.

Philogyny is fondness, love, or admiration towards women.

I presumed it would be something like "philogyny" and it was indeed – "fondness towards women".

Christian Groes-Green has argued that misogyny must be seen in relation to its opposite which he terms philogyny.

Philogyny comes from philo- (loving) and Greek gynē (woman).

Christian Groes-Green has argued that the conceptual content of philogyny must be developed as an alternative to the concept of misogyny.

Misogyny, and philogyny for that matter, seems to imply an essential state of being, perhaps an inability to change an outlook, a claim about what that person is.

- Misogyny (compare Misandry, Philandry, Philogyny)

The parallel Greek-based terms with respect to women (females) are philogyny for "fondness towards women" and misogyny for "hatred of women".

The counterpart of misogyny is misandry, the hatred or dislike of men; the antonym of misogyny is philogyny, the love or fondness of women.

Froude; de Quincey's justly famous meditation On the Knocking at the Gate in 'Macbeth'; and a typical piece of philogyny by Robert Graves.

Ricardo Salles suggests that the general stoic view was that "[a] man may not only alternate between philogyny and misogyny, philanthropy and misanthropy, but be prompted to each by the other."

Bennett’s philogyny made a notable exception for Margaret Thatcher in her heyday, but it has otherwise extended from “Miss Shepherd,” the real-life madwoman he allowed to live for more than a decade in a van outside his house, all the way to Her Majesty the Queen.