MS did a lot of stuff to make and keep NTFS propritary. While Linux can read NTFS well, it still can't write to it safely. This includes both writing files and deleting files. There is software called "captive ntfs" that claims to be able to write to an NTFS partition, but from what I've seen in the support forums it's more like playing Russian Roulet with a bullet in one chamber rather than with bullets in five of six chambers.

Since you have the disk backed up anyway, there is no good reason to do this. If it did look like it worked you may well end up with a corrupt disk that may come back to haunt you later. The only good reason to do it would be if you didn't have a backup and needed to get Windows up just long enough to recover important files before you reformatted and reinstalled everything. If you already have a good backup then don't mess with this, it will catch up with you in the end if you do.