What were the implications of the defeat for the Roman Empire? Was it a turning point in Roman history?
This sounds like a homework question. I'm skeptical that you could have heard of the Battle of the Teutoburg Forest but not have also heard that it is widely regarded - almost to the point of being common knowledge - as one of the most significant and decisive battles in European history, right up there with Marathon or Cannae.
This subject has been previously discussed on /r/askhistorians by more qualified persons than myself here and here, as well as here and here and here and here.