Minogue was in negotiations to reprise her role on the show after last year's panellist Kelly Rowland ruled herself out.
The Australian entertained the idea of a return despite disclosures that she and show boss Simon Cowell had an affair. But discussions have now foundered.
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Badger culls have started in Dorset despite calls from the Queen guitarist and campaigner for them to stop while he seeks a judicial review
Friday morning's forecast for the east of the region
Friday morning's forecast for the west of the region