What does it mean to be getting shot in a dream and trying to get away then being chased?

This violent dream could be nothing more than the result of watching too much violent television or playing too many violent Video Games. OTOH, this dream specifically represents being wounded and pursued. This could indicate painful events at work or discord within an important relationship. The exact situation will be unique to each dreamer: for example, being shot could symbolize a divorce, and being chased could represent the continuing hostility and problems following a divorce.