Death of a Celebrity by M.C. Beaton

No wonder she's been crowned Queen of Cosy Crime' Mail on Sunday
Amazing news is spreading like wildfire across the Scottish countryside: the most famous of all Lochdubh, remotely nestling in the Highlands, is perfectly anonymous... until well-known TV reporter Crystal French races into town in her bright new BMW. And PC Hamish Macbeth, dourly wed to duty rather than the fiancée who dumped him, promptly gives her a ticket for reckless driving. Outraged, Crystal makes Macbeth's life a misery with a TV report on policing in the Highlands... but when she also rakes up old local scandals for her new hit show, Macbeth notes that someone besides himself might be dead keen to stop her. And then someone does.
Now, finding out who did away with the nosy reporter will lead the laconic Macbeth down roads he never envisioned... and perhaps a crisis of the heart all his own.