A lot of reports have been saying October, but has it actually been confirmed?

Not sure but it was around this time last year, perhaps later when her last album was announced
All in good time

It will be released before the end of the year, god forbid she couldn't release it after. That's why she was tiring herself out because she had to get it done so it could be released in the x factor season.

Some time during the X Factor live shows - she would never dare release it any other time

It wouldn't make sense to release it any other time than Q4, it has nothing to do with The X Factor.

As for it's actual release, there's not actually even been official confirmation she's releasing a second album, let alone a release date

Yes there has. There has been loads of articles on producers she is working with etc.
She confirmed last week she is calling album "Cheryl cole"

I'm pretty sure she didn't.

A "source" in The Sun isn't official confirmation.