A quote in A Tree Grows in Brooklyn, which speaks to how women hate each other, is "“I hate all those flirty-birty games that women make up. " While not a direct statement of hate towards women, Katie is alluding to the fact that some women play games.
Through this, Katie is admitting that she does hate women who play games such as being coy with men. In making the statement about hating the games played by women, Katie is (in essence) saying that she hates the women who play games.
This comes about from the fact that Katie seems to appreciate women who are upfront and direct. Women who are not direct, Katie does not appreciate. Through this lack of appreciation, Katie comes to hate women who act this way. Given the advice she gives her daughter, Francie, Katie shows that only direct women are the ones to be respected.