Thank you for the follow-up. What you have described is not racial discrimination because you were not fired or disciplined because of your race.
What you've described is that a customer used a racial slur which could be considered to be a hostile
work environment. However, because it only happened once, it is considered to be a stray remark. It's not really a legal injury in the eyes of the law.
Again, the customer's conduct is not excusable; however, the employer did not violate any laws. The employer is not responsible for the customer's actions.
Of course, the employer could have taken action against the customer -- but there is no law which requires the employer to do so.
You can certainly go to the local media to complain. Could your employer fire you for going to the media? Yes. There's no law that would prohibit that.
You could go and complain to corporate. Matthew W. Schuyler is the Executive Vice President and Chief Human Resources Officer for Hilton Worldwide. Then they could follow-up with your local management team.
7930 Jones Branch Drive
McLean, Virginia 22102
Tel: +1(NNN) NNN-NNNN
My goal is to provide you with excellent service – if you feel you have gotten anything less, please reply back. I am happy to address follow-up questions. Thank you for your business!