Symbolic of death.

To see the Grim Reaper can be indicative of a demonic stalker in your life or the life of someone else in the dream... Christian Dream Symbols

Psychological / emotional perspective: When pressure is put on us emotionally, the feeling may be exaggerated in dreams to a sense of harassment, behaviour which is offensive to us. We may dream of stalkers or being hunted.... Dream Meanings of Versatile

Obsessive behaviour, regarded from a spiritual perspective, would indicate an imperfect link between the spiritual and the physical realms. Spiritual possession was once seen to manifest as obsession.

A real-life stalker will be acting out the belief that they have the ‘right’ to possess their victim.... Dream Meanings of Versatile

Many people have unpleasant dreams of being chased and/or stalked.

If the dreamer has these issues in her daily life, then the fear experienced during the day may be entering her dream state. However, most people that have a dream about being stalked are not stalked in reality.

The dream is symbolic and brings up issues regarding persisting problems or prevailing difficulties.

The dream could represent one side of the dreamer’s personality attempting to catch up with the other.

For example, if the dreamer is doing something hurtful to himself or has a bad habit or addiction, the stalker in the dream may represent that negative part of the dreamer’s personality or life.

The dream stalker could represent your conscious, a prevailing problem, or a goal that you have been putting off and unable to pursue.... The Bedside Dream Dictionary