Yeah, that was why the spin-off got that name. In fact, if I remember aright, the 2005 nu-Who series was referred to in production as Torchwood to deflect spoilers.
At the age of five, Skagra decided emphatically that God did not exist. This revelation tends to make most people in the universe who have it react in one of two ways - with relief or with despair. Only Skagra responded to it by thinking, 'Wait a second. That means there's a situation vacant.'