Now, I'm no sciencer, nor am I an astronomyist, but from what I can gather by reading NASA's report (via Astronomy magazine's website, which is just like the print version but without all the racy centerfolds), the swallowed star still emits a blast of X-rays even after it has been sucked in and torn apart by the black hole. Then, it disappears. Forever. And ever. Into a mysterious void, the nature of which science has not even begun to approach understanding.
Are you freaked out yet?