The pair, both of whom were taking part in their first trial, were nominated by their fellow contestants to face the challenge, Pluck and Roll.
They were given eight minutes to move the stars along a tubular maze set up across three ostrich enclosures, having been smeared with ostrich food.
After fighting off the birds, who were furiously pecking at the seeds and molasses stuck on their clothes, former Star Trek actor Takei and former police chief Paddick shifted four of the six stars into the end zone, earning eight meals for the 11 celebrities.
The pair returned to warm applause from their jungle cohabitants.
Meanwhile, Carly Zucker’s camp misery continued as she tearfully admitted that she was considering walking out on the show.
Asked by Timmy Mallett how she was feeling, model and personal trainer Zucker, 24, said: “I hate it.”
“I’d prefer someone else to stay if I feel like this,” she added.
She said she was “ripping her hair out” in frustration, adding: “I’ve had enough of just living in muck.”