In a P and Q situation, the appopriate thing to do is what I did: ask for precision. Does P imply Q? Does Q imply P? What is the relationship between the two.
This is especially relevant when P and Q have diverging connotations. Usually one would expect not to say something is both misogynistic and childish. The meanings are not completely orthogonal.
I find that statement ironic, given the fact that your own argument has a glaring logical fallacy in it:
1. The situation is called misogynist---aka evil.
2. The situation is called childish.
So misogynistic is childish now? Or is it the reverse: are children misogynistic then grow out of it?
1. My computer is a laptop.
2. My computer has 4 USB ports.
So all laptops have 4 USB ports? Or is it the reverse: are all computers with 4 USB ports called laptops?
I hope this serves to illustrate the point that "P and Q" is not the same as "P implies Q" nor "Q implies P".