LRDtheFeministDragon says it far more intelligently than I in this quote from another thread.
Misandry does not exist.
It some possible world, it could exist, just as we could have lived in a world where white people were ruthlessly oppressed and we experienced black supremacy. However, we don't.
Since misogyny is the structural oppression of women, it can't coexist with misandry, which would be the structural oppression of men. The two would cancel each other out.
Sexism towards men can and does exist, of course. But the wider context is of a society that is biased against women, and this wider context informs those instances of sexism.
If you chose, you could express this by saying 'well, there is sexism against men and sexism against women, but the sexism against women is more damaging and we know more people are killed by male violence than female violence, we know more women live in poverty than men, we know women earn less, etc. etc.' Or you could say 'there is misogyny and there is sexism against men; misandry does not exist'. To me, the latter is simply a lot more meaningful and useful, although the former isn't particularly difficult to accept either.
So, yes, I stand by my statement that misandry does not exist in the same way that racism towards WASPs doesn't exist.