The 26-year-old lost out to fellow nominee Freddie (aka Halfwit) in the public vote.
After Davina announced the result, she smiled and said "ok" before the others gathered around to hug her.
"Wow... that's alright, that's alright... don't worry," she said. "Come on, give me lots of love, people."
Meanwhile, Freddie sat down and breathed a sigh of relief before being hugged by Angel and Cairon.
Beinazir was the first contestant to be evicted after failing to achieve housemate status.
Sophia will leave the house at 10.35pm.