When you sign up for an internship, you check your pride at the door. Some entitled people have gone as far as suing the places they interned, which burns bridges quicker than a firehose of gas and a flamethrower. No one said working at a fashion rag would be easy or glamorous—and it usually isn't. Think about how long you'd stay away from meat after a thorough tour of a sausage factory. That said, it's still rewarding if you're passionate about it. It's one of the things in life that you get as much as you put into it—so put on your best shit-eating grin and make the most of it. Maybe in ten years you'll be successful, but also have learned a lot from your time as an intern—and possibly have a hilarious memory of walking 80 blocks to get Diddy the perfect slice of cheesecake.
You're not "above" anything. You're an intern.