Is it possible to delete a song from my ipod touch that does not appear in the iTunes window, but appears in the Sharepod window
Sharepod will display whatever is in the medialibrary.sqlitedb on your iPod Touch which is your iTunes Media data, and iTunes and the Music app on your device will display the exact same data, so it should all match.
You won’t be able to delete music in Sharepod since it’s read-only, but iOS 7 and 8 added the ability to delete tracks directly on your device in the Music app. iOS 7 only lets you delete individual tracks, but iOS 8 lets you delete entire albums or entire artists too. Just swipe left on any track, album, or artist and tap on Delete.