She isn't a bad dancer at all, but by no means is she a good one. I'm yet to see her pull off something that requires more than 'breakdown music' to make it seem impressive.
The thing with Cheryl is that she hasn't actually done or achieved anything that really implies she could be huge internationally, let alone considered iconic in the future. Her success is so in tandem to her celebrity, and not the strength of the material, that anywhere she tries to break she'll have to build that same level of tabloid fame. The problem with that is that she's so domestic that internationally, I doubt they'll care. She's famous for being in a British girl band and now judging a British tv show, she had a public marriage and divorce with a British football player, she herself is incredibly British with that accent.
Yes, she's had some success in Europe but nothing to write home about. Besides, it's all pretty irrelevant because the US is such a different and difficult market. Doing well here doesn't entitle success there, just look at Robbie Williams, Kylie and the endless parade of superstars who couldn't translate their appeal.
The only reason she'll have success over there is if the X Factor becomes a smash and they take to her. That's not set in stone though, because what if they don't understand her? She'll have to improve and Americanise her material because right now, her stuff is nowhere near strong enough to take on the US. Promise This/FFTL is so brit-pop and as good as they are, they're hardly instant pop classic anthem great. How is she going to compete with Lady Gaga, Rihanna, Katy Perry, Britney, Beyonce etc? This is America we're talking about, there's **** all competition here in comparison. They all have better material, stronger images, bigger fanbases, more attention.
If push comes to shove, are American's going to give a shit about Cheryl Cole miming away on stage to a song they probably won't get, with the others around? They don't care Ashley cheated on her, they don't know him. They don't care she is the tabloid appointment nations sweetheart. They don't know or care she had malaria. Without all her celebrity, is her material strong enough to support a career? Doubtful. Especially after listening to her album.