The body of Zsuzsanna Besenyei (37) was found at Le Pulec beach last week. Two days earlier her car was found on the beach near La Haule slip.
A 54-year-old man has been arrested on suspicion of murder.
Detective Superintendent Stewart Gull said: ‘Our main appeal remains in respect of Zsuzsanna – where was she and her blue Ford Fiesta between Thursday 10 May and Monday 14 May? We are asking anyone with information about Zsuzsanna to please get in touch. They can call us on 612612 or Crimestoppers anonymously on 0800 555 111.’