Danica Thrall, The Situation and Samantha Brick were saved from the chop after four housemates were put to the public vote.
The glamour model, who achieved infamy for her alleged 'sex texting' exchanges with Vernon Kay, had said earlier in the week that she "physically couldn't stay" on the show any longer.
Rhian received a positive reception from the crowd, who in contrast had loudly booed every mention of Danica during the live eviction.
Rhian told presenter Brian Dowling: "I felt like I didn't have anyone to talk to... I'm one of the quietest housemates."
The model then revealed that she would like Danica to go on to win the show, and hopes Julie Goodyear will become the next housemate to be evicted.