Stalker

–verb (used without object)

1. to pursue or approach prey, quarry, etc., stealthily.

2. to walk with measured, stiff, or haughty strides: He was so angry he stalked away without saying goodbye.

3. to proceed in a steady, deliberate, or sinister manner: Famine stalked through the nation.

4. Obsolete. to walk or go stealthily along.