Violence happens off screen for the most part.
Murder She Wrote would be considered a Cozy Mystery.
The four types of mystery are the police procedural (starring the police, natch!) the hard boiled detective (featuring a private eye who quite often was involved in law enforcement), the law and order (starring a lawyer) and the amateur sleuth which may or may not be a cozy.
Men tend to write more police procedural. Women tend to write more amateur sleuth. And Cozys are VERY female dominated.
A cozy sounds like it might be a nice change of pace every now and then.