For both men and women who want to teach English abroad, South Korea is a very safe country. Though there are sometimes political demonstrations, Seoul is one of the safest cities in the world. The Korean government prohibits people from owning guns, and it is very rare for a policeman to shoot a gun.
The incidence of violent crime in South Korea is much lower than in the U.S. However, like in all major cities, you should exercise some caution: always be aware of your surroundings, and don’t carry valuables unless you must. Keep a photocopy of your passport and credit card information at your apartment in case they get lost or stolen.
For up-to-date information, visit the Overseas Security Advisory Council's website: