Originally Posted by RSteve
it bothers me to install it all the time and I can't find a way of deleting it or telling it I don't want to.
Software Update checks what software you have installed and if there are updates for it. If it finds them it presents those updates for you to decide whether you want that particular update or not.
If Software Update presents iTunes updates all the time then your system apparently thinks you have iTunes installed. When iTunes is installed it installs a myriad of small files scattered all over your HD. So when you drag the iTunes application from the Applications folder to the Trash you only trash that particular file. All the other iTunes files remain in place. So when Software Update checks what updates you need, it 'sees' those remaining iTunes files, concludes that iTunes is installed, and recommends to update it.
So it looks like there are
iTunes files on your system. Have you tried uninstalling iTunes with e.g AppCleaner
to remove ALL the iTunes files?
You may need to install a complete
iTunes set in order to enable AppCleaner
to subsequently remove it all.