White privilege is not the only type of privilege that exists? There are many other privileges, for example tall privilege. In the population just over 14% of men are 6 foot tall are more, but 58% of CEOs of Fortune 500 companies are 6 foot tall or taller.
And then there's Jewish privilege. Of all the religious groups Jews are by far the highest earning demographic. Breast size is also something that privilege, just ask any waitress whose income is based on tips.
Looks can also be considered a privilege as people with good looks get more dates and more job opportunities. It's not that there is no such thing as white privilege, it's just there are lots more than just white privilege.