Conchita Wurst is the stage name of an Austrian man named Tom Neuwirth, who is famous for being an incredible drag performer and also for having a beard. Which thing do you think is upsetting people more? Conchita won the 2014 Eurovision song contest with "Rise Like a Phoenix," which sounds like it should play over a 007 credit sequence:

Even though the world has long been familiar with drag performers singing on stage, some people freak because Tom keeps his facial hair, while otherwise appearing very feminine. He also switches his pronouns according to the situation. When Conchita Wurst is performing, she uses the pronoun "she," but when Tom isn't performing, it's "he." For people grappling with gender fluidity, this is confusing. So confusing, they're completely enraged!

Sources: The Advertiser | h/t BuzzFeed