What does she do? just stare into space? watch tv. watch you. talk to you. what? she must be doing something.
There's a boy at our nursery (where I work), and he's about two as well, and he doesn't play with toys - he only ever throws them. He throws toys, sticks, everything and anything, and pushes over bigger things too - like chairs, shelves, tricycles, slide. It is very frustrating and messy, (and a bit dangerous if you get hit by stuff).
Does your child enjoy sensory play - splashing in puddles, crunching leaves, slime, playdough, sand, water? Perhaps she's more of an experiencer than a player. You say she likes dancing. Try all different types of music. Would she try a xylophone or drum or shaker, with you perhaps and make some music together.
What I mean is, perhaps she's just not into simple toys, like a doll or car, but might enjoy a swing, climbing frame, slide, like something more interactive. Try baking with her, actually make cakes, rather than leaving her to imagine it.