Clara Oswin Oswald is very clearly The Rani. Not only is she a science genius girl with a strong love of Souffles, but she is not 'Clara Oswald.' because Clara Oswald never existed.
Science Genius Girl[]
In all of her appearances so far, 'Clara' has shown a preternatural understanding of the scientific workings of advanced technology. The only other times we witness a novice display such an immediate understanding of Time Lord technology is with Professor Doctor River Song, another time lord.
Proof[]
'Clara' may have jumped into the Time Stream of the Doctor's and survived. This is really hard to do. So far, 'Clara', or what ever her name is, has revealed to a cyberman that Clara is not her name, and that there was no Clara Oswald. Either 'Clara' was lying, or she really is someone else. Most likely a time lord, either the master or Rani.