Goodger and her professional partner, Michael Zenezini, danced to Rescue Me by Fontella Bass, but sharp-tongued judge Jason Gardiner said: "One of you was elegant, beautiful and committed. The other one -- the only way is through the back door. I'm saving Anthea."
After being voted off the show last night, Goodger said: "Obviously I'm gutted, but I'm okay. I've enjoyed it. I've met some amazing people that I'm always going to keep friends with now. It's been a great experience and I've had fun."
She was second from bottom following the judges' votes, and was forced to take part in the "safety skate".
Gardiner had earlier said the beginning of her first routine had "all the sensuality of a walrus on ice".
Head judge Robin Cousins was more sympathetic, telling her: "You have to be more confident in your own abilities and not necessarily just rely on Michael."
Goodger, whose hands were shaking after her opening performance, said: "It's completely new to me and I'm trying the best I can."
Ex-Welsh rugby player Gareth Thomas topped the judges' leaderboard after dancing to Killers' track All These Things That I've Done.