Think about it...

 “If Black women were free, it would mean that everyone else would have to be free since our freedom would necessitate the destruction of all the systems of oppression.”—CombaheeRiver Collective Statement, 1977

It's true that the destruction of the systems of oppression that harm Black women would likely (it appears that such is true, anyway) free all the human Earthlings...but...it's not so that such freedom would necessarily end oppression for all Earthlings. 

Some thoughts about fully ending oppression for all Earthlings are contained in this article: "Do you include an analysis of animal oppression or speciesism in your anti-racist work? Should we make justice for animals a central principle of Black Lives Matter movement? Aph Ko and Syl of Aphro-ism and Black Vegans Rock think so. In fact, from their perspective, it’s imperative that we do. As far these two black vegan powerhouses are concerned, anti-speciesism does not function apart from anti-racist activism. And your intellectual toolkit is incomplete without a radical re-imagination of “the animal.”"

It's interesting to think about the fact that resisting oppression directed at one targeted group (PoC, women, and so on) does not mean you necessarily are resisting oppression directed at all targeted groups (or that you're even interested in resisting oppression directed toward other groups). 

Nope, each manifestation of oppression must be grappled with one by one...no free passes in this sort of work although many of us (me included) fall into the trap of thinking that we're good to go if we recycle or something. It isn't that easy...if it were oppression would have disappeared long ago.

There is no "purity", no end point...while we're alive...we have to work at understanding and resisting oppression else we'll end up upholding it.