No matter the merits of this particular comic (I think it in poor taste, contributing to the already huge problem of fridgings and violence against women on comics pages, and inappropriate for the market where it was placed), there is something deeply off with how DC's corporate communication is handled.
We still haven't had any official response from DC regarding this comic, but
CBR had a statement from Tom King on his response to the critique. I'm afraid that that response is just likely to bring even more critique onto King's head. And a contributing reason is that DC should have taken point in delivering and crafting such a response. Both to help the writer write a good response that doesn't fan the flames (and King is not a dispassionate bystander, but the very creator who is under the microscope here) and to at least attempt to shield the creator(s) from standing in the middle of an erupting flame war.
We had the same issue not long ago with the Poison Ivy cover for Heroes in Crisis #7. King's tweet that the cover was cancelled and would be replaced was short, to the point, and addressed the concerns that had been raised, probably partly because King here was not the directly responsible creator, and could write and act dispassionately about it. But it should not have come from Tom King: it should have come from DC itself.
Looking back a bit further, we have a similar furor over the
infamous Joker cover for Batgirl #41. And DC's communication there is maybe even worse. Rafael Albuquerque's statement is well handled, but it was presented separately from DC's own statement, which was muddled and added confusion about the possibility that Albuquerque had been harassed, something which then both Albuquerque and Batgirl writer Cameron Stewart had to deny.
Lately there has been a trend all over publishing to get the creators to take a larger role within marketing their works. But the final duty for marketing and communication still lies with the publisher, and here DC is failing badly, leaving their own creators out to dry or to pick up their pieces.