I would say it's the song that has more to do with whether there's a story than the type of dance. The dance should be expressing the music--what is the music saying? I would argue that all songs tell a story, and ideally the dance would show it.
Again, you're there to social dance. Allow yourself to have fun, and give your partner the same opportunity. Telling her how she's allowed to dance with you is off-putting and potentially puts her in an awkward position.
While I understand why you would want to do this, it's best not to. People are there to dance, not provide critiques. It would probably be OK every once in a while when you lead something you're unsure of to ask her after, "was that ok?" But keep it brief and accept a brief answer. If you want...
I'll add something else: she's following if her own free will. She's choosing to follow you, so you're not exerting your will over hers. It's just that tradition says your gender is the one that makes the decisions and hers is the one that makes you look good.