Physical Danger
Not too much danger to report here. Unless you screw up some nice lady's back really badly and her large, irate husband barges into your office to throw you through a wall...which would necessitate the hiring of another chiropractor to fix your own neck after being thrown through said wall. But outside of that, ahem, totally likely scenario, you should be just fine.
That said, if you're the type to be grossed out by poking and prodding at other peoples' bodies all day, you should probably pick a different profession. This could get really "dangerous" if that were the case.