Surely if an object would appear rotated, this would belie the actual alignment of their pelvis. Which would mean Shakira was wrong: her hips *do* lie.
It's commonly believed that Lorentz contraction makes objects appear flatter along the direction of travel. However, this ignores light travel times. In fact, a fast-moving butt would appear rotated toward the observer but not substantially distorted. Shakira was right.