She probably did inform her superiors about the message.
And should get fired for that.
She should get fired for informing her superiors about a major space battle between two powers? (Edit: Ooooops.)
I mean, Galia assumed that Uhura was going to be in the sensor lab all night. Therefore, I assume that once she picked up the message, her superiors came in a took over the lab to analyze the situation, and had all the cadets leave.