No, don't put it into the trash.
On the Mac, the uninstaller are in the Utilities Folder.
You can also run the CS3 installer above the installed and corrupted version, to get a repair.
Did you see Willi's reply? It isn't showing up on the web page.
Are you trying to move the application to a new computer? You don't really need to uninstall to do that, and uninstalling won't deactivate in any case, but that's not too likely to cause a problem, either. You are allowed two concurrent activations, and the activation counter resets after a period of time, so it's likely you can activate the new install without issue. If you get an activation error you should be able to call the phone, explain the problem, and get a reset at that time.