The singer, 30, uploaded a photo of the Thor director, 45, wrapping his arms around her as they wore complementing Gucci garments.
The snap sent tongues wagging, as fans speculated the pair could be an item and suggested Rita might have a cameo in his forthcoming movie.
The rumoured couple were spotted exiting a private jet with Chris Hemsworth, his wife Elsa and Matt Damon in Sydney recently, following a trip to the Gold Coast.
The Hollywood movie hunks are staying Down Under to shoot scenes for Taika's Thor Love and Thunder film in addition to Russell Crowe, who was seen on a bike ride with Rita last week.
