Choose Continue Watching rather than Favourites
SBS defines Continue Watching as programmes started but unfinished. Favourites is a separate saved collection controlled by a heart on programme details. Choose the actual list you want to edit. Removing a saved recommendation from Favourites should not be substituted for the documented Continue Watching operation when the unwanted tile represents an unfinished programme.
Use a browser or mobile for the edit
On the website, find the programme in Continue Watching and use its bottom-right three-dot menu, then Remove. On iOS or Android mobile, use the three vertical dots beneath the show and choose Remove from Continue Watching. These are direct list-editing actions. Use the intended account and programme rather than starting unrelated episodes merely to move the row around.
Synchronise to a television lacking the feature
The current help says this removal control is unavailable on Android TV, Google TV and Fetch. It directs making the change through another documented route while both devices use the same email address; the programmes then synchronise. A missing remote-menu command on those platforms can therefore be an expected limitation, rather than evidence that the television failed to recognise an ordinary button press.
Use the correct supported remote action elsewhere
For the listed smart-TV, Foxtel, Hubbl and Fire TV routes, hold OK or the centre button on the item to open the removal submenu. On Apple TV, SBS gives a roughly two-to-five-second hold on the touch surface or centre button. If the goal was instead editing Favourites, return to that collection and its heart control rather than applying a Continue Watching instruction to the wrong row.