Homicide Squad detectives have charged a 58-year-old man following the death of a woman in Red Cliffs last month.

The New South Wales man has been charged this afternoon with one count of murder.

He remains in hospital under police guard.

A remand hearing will be held at Melbourne Magistrates’ Court this afternoon.

The charge relates to the alleged fatal shooting of an 81-year-old Red Cliffs woman at her Snowy Avenue property about 12.30pm on 30 October.