>>42788399 (OP)
Step one: embrace the nudist culture. All of those close you're wearing are sending a different message.
Step two: Inform them that you're lack of fur is considered attractive from where you're from. You may still get a few snickers, but you'll be able to exert confidence.
Step three: tussle with a minotaur. Yes, they're strong, but if you manage to slip a handful of bits before your fight, you two can make it look convincing. Even if you can't bribe one and/or you lose, you'll still gain some respect from the masses.
Step four: if all else fails, cave in to your carnivore side. Eat rare meat with your bare hands in front of a large crowd, let the red juices drip all over you. To the uninitiated, it'll look like blood and you'll look savage. No pony will ever laugh at you again.