I make fun of fat chicks all the time. Some women try and "shame" me, but I remind them that fat chicks aren't people anyway. Individually a women will abdicate once you make a statement. Amongst my friends, myself and a few others have a reputation for disliking fat chicks. Oddly enough, we all do OK with women.
One thing that might be worthy of discussion at another time is the distinction between the crowd ( media) and the individual ( women). As an individual, a women will exhibit different behavior than the crowd. For example, women will often try their little "shaming" tests, but as soon as you put them in their place, they abdicate. The crowd is different since men enable much of what we experience. Most of the "shaming" wouldn't even be possible if a man decided not to publish the material.
I say, let women talk. they don't back it up. Shaming is the only little tool they try and use, and often with no success. Just as every women who has tried "shaming" me when I make fun of fat chicks. It doesn't work at all.