Check your state department destination's website for safety issues and travel warnings on foreign destinations.
Do not rely on domestic news sources or travel guideblogs for current events in a country. It's best to check with your embassy in the country of destination if you can.
Be aware of any safety issues at the location where you want to go. Some places are going to be no-go areas for some time due to terrorist activities, so be aware of that.
Photo Gallery Safety Issues For Your Travel Destination
Safety Issues For Your Travel Destination Images
No point in travelling to a place and getting shot on the beach, in the street or blown up by a bomb.
Some places are also notorious for crime in general. Choose locations that are known to be safe for people from your country, rather than going somewhere where they regularly burn your country's flag.