The celebrity chef and dance partner Karen Hardy ended up in the bottom two alongside Mark Foster and Hayley Holt after failing to impress the judges and public with their jive on Saturday's show.
Judge Arlene Phillips said of their performance: "Enthusiasm - yes! You need to stop counting in your head, feel the rhythm and dance. Your footwork was kind of as flat as a pancake."
Len Goodman added: "You had terrible comments a couple of weeks ago and you've got all that pressure. I thought you did a very good job considering all the stress you've been under."
Foster was saved by Phillips, Craig Revel Horwood and Bruno Tonioli after the dance-off, leaving head judge Goodman to comment on the couples rather than vote.
He said: "Gary, I thought it was a very brave attempt. Well done to you."
Rhodes said after his elimination: "I would go through it all again - I want that ballroom dance! Maybe we'll have that privately."