She does represent them even if she posts it on her Twitter. And Eurogamers were publishing other rumors that were not confirmed as well.
How does she represent Eurogamer if she posts on Twitter? Eurogamer has their own twitter which represents them... And yea, I know Eurogamer published the Zelda delay rumor but what other one did they publish from the list of yours?
And can I see a Link to that "She is an employee of Eurogamer"
That's how life works. People get fired all the time for tweeting stuff. You are always a represetive for your workplace. Take politics. How often did we have companies try to distance themselves from an employee or fire an employee who said something on twitter or facebook on their own PERSONAL accounts. They weren't doing it as part of their job or for their company, but people see you as a representative. If you post something racist online, they figure that the place you work for be a racist place or accept racists, or ect.
What she is doing is taking that to the extreme. She is tweating about video game stuff, which is what she does for a living. If there ever was a representation of your job it would be that.