Until very recently, it seemed as if Taylor Swift could do no wrong. Since 2006, when she arrived on the Nashville scene with the release of her eponymous album, as a gawky teenager in sundresses and cowboy boots, Ms. Swift has earned accolades (including seven Grammy Awards), upgraded to designer gowns (notably the Elie Saab black dress with sheer thigh panels that she wore to the Brit Awards in February) and perhaps more important, sold records and concert tickets as if they were frosted cupcakes — which, if you paid attention to Instagram, you’d know she bakes with pal Selena Gomez in her Nashville penthouse.

Though her romantic relationships went less smoothly than her career, they still inspired hits like “We Are Never, Ever Getting Back Together” (reportedly about Jake Gyllenhaal) and “Dear John” (as in Mayer, it is widely assumed). She landed endorsement deals with brands including Diet Coke, American Greetings, Keds and CoverGirl. And she was on magazine covers from Rolling Stone, to Elle, to this month’s Vanity Fair.

And therein, perhaps, the trouble began.

Her ubiquity, not to mention her dating history, has begun to stir what feels like the beginning of a backlash (including both a Tumblr account and Facebook page titled “I Hate Taylor Swift,” the latter with 5,912 “likes”).