I think the actual message of the song fits her really well with the perception of her being a cold b*tch and the song is about being perceived as cold and hard but sweet and loving inside. I also think that putting her on Babylon is a bit too expected and on the nose. If she had a verse with lyrics about how hurt she is being seen as a hateful, vindictive woman when she's actually quite loving and nice it'd be a really nice addition.