If you are too insecure to admit that you had a head start over others and have been viewed, in this society, favorably over people of color since the day you were born, you will vigorously deny your white privilege.
You will stare the facts square in the face and deny them.
It doesn't take anything away from you to acknowledge the facts here. Trust me.
When the "advantages" supposedly associated with having white skin are generally something you actually did not have, OR are actually just not being fucked up like the BLack Community, then pointing out the Truth, ie that White Privilege if bullshit, is the right thing to do.