Is Georgia a dangerous country? Quite the opposite, but still, safety issues shouldn't be understimated - the danger usually lurks where you the least expect it. The mountain rescue system is only being developed and phone coverage in remote mountain areas is virtually non-existent. Therefore, it's usually better to be self-sufficient.
During hiking in Georgia, one should watch out for several hazards. Some of them are relevant to any trekking trip, other's are more area-specific.
Here is the short and incomplete list of troubles you can encounter.