That sounds like it should be my autobiography : ) I don't know actually, but I suppose that would be someone like Constable Fraser from Due South the TV series. It would be great if there was a book series that was similar.
Was it the Alex Delaware series?
Jo Beckett? https://www.goodreads.com/series/44988-jo-beckett
Claire Adlington? https://www.fantasticfiction.com/h/isabelle-holland/claire-aldington/