The Sun claims the singer “went in on him” after she was voted in the bottom two for the second week in a row.
A source told them: “There was obvious tension between Alex and Gorka as soon as they got ready for the dance-off.”
Alexandra, 29, allegedly fumed at Gorka, 27, when he attempted to give her pointers before their performance.
The source claimed: “As he gave her a few words of wisdom on how to improve for it, she straight away went in on him.
“She couldn’t stop bickering with him and saying things like, ‘I’m not having that’ and ordering him about.”
This comes after the actress hit back at reports that she had a backstage meltdown after finding out she was in the dance-off on Strictly Come Dancing.
Taking to Twitter, she wrote: “Because it’s really hard to read lies. I have to say something… after the show on the weekend I actually WASN’T in the green room.
“I was in the physio room treating an injury and then went home. NO meltdown… just happy that we made it through another week,” she added.
In the quarter-final, Alexandra and professional dance partner Gorka topped the leaderboard with 39 points.
But once the public vote was factored in the singer found herself in the bottom two with Eastenders actor Davood Ghadami, 35.
However, all four judges voted to save her over Davood, with Darcey Bussell, 48, saying: “Both couples gave 100 per cent tonight and it’s tough to see anybody go, but there was one performance that totally outshined the other and that was Alexandra and Gorka.”
Alexandra will compete with celebrities Joe McFadden, Mollie King, Gemma Atkinson and Debbie McGee in the semi-finals this weekend.
Express.co.uk has contacted a representative for Alexandra Burke asking for comment.
Strictly Come Dancing continues Saturday at 6.45pm on BBC One.
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