The *only* thing white supremacy has to offer white women is "protection" against the scary Others.
If white women realize that the people they need protection from are the violent white men who control them & that instead of needing to be protected from the Others, those people deserve THEIR protection, the whole thing falls apart.
The fash need white women to be scared of everyone who is not like them. If the women refuse to be terrified, they've got nothing to keep them in line.