Then by your logic it follows that murder should be against the law, while deliberately driving a car into a schoolchild should not. Right? The result is the same whether you are just tapping on a keyboard or holding the wheel of a car.
No, wrong. Deliberately driving a car into a schoolchild was murder, last time I checked, while online chatting under an assumed name was not.
In some cases, tapping on a keyboard could be a legitimate crime if it actually damages the property of others directly or endangers national security such as in the case of hacking or spreading viruses, but the woman in this story was just being a plain ól bitch and chatting online. Hence, no crime.