Books like Fair Game by Paula Gosling

From inside flap: Clare Randell was a classy lady, bright, beautiful, sharp-tongued, on the rise in her career and at home in sophisticated San Francisco. Mike Malcheck was an uptight cop, obsessed with a personal vendetta against a deadly professional international assassin who mocked the law for years. Now Clare Randell and Mike Malcheck were forced into each other's company and drawn into each other's arms in a nightmare game that turned them from hunters to hunted. From back cover: Clare Randell looked down at her arm and saw blood. She had not heard the shot. She had barely felt the sting of pain. For a moment she could not believe that a bullet had actually passed through her flesh. Even then she could not bring herself to admit that someone ahd deliberately shot her on a crowded San Francisco street. It would take time and terror for Clare to realize that someone had singled her out for death...someone who had never failed...someone who considered her...FAIR GAME.

First publish date: 1978