It depends. If you were a DJ and you promoted yourself to play songs by request, and someone (trans or not) asked you to play Brown Sugar, by the nature of your job, it's your responsibility to play any song that clubber asks. Unless your manager and club policy says X songs as a group aren't allowed there is no personal choice but the choice of the business.
To keep your job, yeah, your need to play Brown Sugar.
When I go skating we ask the DJ to play X songs because it's adult night so we hear songs from 70s and 80s. But because the nature of the club also invited children at other times, there are sexual and curse related songs we can't chose to play. While the DJ may disagree with his managers choice, he who miles curse
...and, that would mean in the former its better to say to his costumers, he choses not to play Brown Sugar rather than not mentioning this choice until someone else asks him and he denies playing it because of the person rather than his opinion about the song himself.
@BSM1