Bergdorf's position on this doesn't mean they think every white person is bad or interfere with their willingness to engage with white people.
Bergdorf specifically said in that diatribe that a white rough sleeper was privileged over upper class black men such as Chiwetel Ejiofor.
This is such arrant nonsense that it renders everything else Bergdorf has to say about race suspect. There are plenty of excellent commentators on race who actually understand the power relations analysis required by intersectionality and who include class in their thinking so that it has some actual relation to the real world. I'd seek them out and listen to them instead. (Try Akala or Claire Heuchan.)
It's great to be willing to be challenged on one's unconscious racism. But there is no point listening to idiots who say offensive things about rough sleepers, women, and any other group whose disadvantage doesn't enable them personally to claim the "most oppressed" label.