What system folder are you trying to delete? In general, even if you manage
to delete one, the system will detect it as missing and recreate it upon a
system restart. This is what system folder protection is about. Certain
ones, if you manage to delete them, will cause the system to either stop
responding or fail to boot. If it is a non-critical folder, such as a
default program folder, it will be rebuilt anyways.
This folder is the "shared files folder" and it says that its a system
folder, shouldnt I be able to delete the folder that is inside that folder at
least??
As long as it isn't one of the system default folders (in other words, one
you created), then yes. Be aware too that if the folder is in use you will
not be able to remove it until it has been released.