You stay true to yourself, you be who you are, and whether or not they like you is their problem.
You will meet people like that sometimes, we all do. People can have all sorts of irrational reasons for deciding that they hate you. Maybe you like someone that they dislike, maybe you remind them of someone, maybe its racial or cultural prejudice, maybe they don't like anyone who uses the word "penguin".
Whatever it is, you don't want to be trying to make friends with this person, or doing anything differently because of them. You shouldn't have to. However, I recommend being polite and reasonable to the extent that you can. If you behave with more class than this other person, then the people around you will notice that. Don't take any abuse or cr@p from anyone, but at the same time don't let a douchebag drag you into being a douchebag. Be the king (or queen) and let others be the fool if they want to.