As I understand it all the scientists have done so far is to turn on the power and inject the first packet of protons into the collider ring. That was never going to do any damage, even supposing damage is likely.
So what happened to these oh so destructive black holes the naysayers think the LHC will produce? Well before that might happen, the scientists have to get a proton beam circulating in both directions (not just one as they've done today); then focus the beams so they collide; and then do it at a high enough energy. That is many weeks, even months, away. This is a gradual process if doing things one step at a time and gradually ramping up the power. To quote CERN's press release:
Starting up a major new particle accelerator takes much more than flipping a switch. Thousands of individual elements have to work in harmony, timings have to be synchronized to under a billionth of a second, and beams finer than a human hair have to be brought into head-on collision. Today’s success puts a tick next to the first of those steps, and over the next few weeks, as the LHC’s operators gain experience and confidence with the new machine, the machine’s acceleration systems will be brought into play, and the beams will be brought into collision to allow the research programme to begin.
Once colliding beams have been established, there will be a period of measurement and calibration for the LHC’s four major experiments, and new results could start to appear in around a year.
So don't expect Armageddon for a year or so, and only then if the LHC doesn't turn out to be a white elephant!