The Tenth Doctor was just trying to ignore the news about the Cybermen Capturing the Torchwood Starships knowing full well what would have happened to the Humans afterwards.

The Cybermen had control of Torchwood's only Interstellar Shipyard on the Planet Earth and Starfleet Command ordered it destroyed because of how dangerous the Cybermen are to the rest of Humanity.

Torchwood was unhappy that Starfleet Command called the Vulcans for help fighting the Cybermen Armada of DY-100 Class Starships armed with their own Phase Cannons, but had to agree that the Planet Earth needed all the help that it can get afterwards instead.