No she didn't. She knew that every reasonably intelligent person in the world would see the @getalife.com, know that there is no public email server named that, rightfully conclude that it's not a real email address at all, much less hers, and see it for the joke it is.
It makes perfect sense.
He trolled her out of boredom, she swatted him like you would any old nuisance barfly, he got triggered and made an embarrassment out of himself EVEN MORE (nobody thought that was possible), which opened the floodgates of public humiliation.
Which he definitely earned.