The glamour model said that she couldn't physically bare the prospect of remaining on the show beyond tonight and Friday's evictions.
Sugden said that her only friends on the show were Danica Thrall, Coleen Nolan and Julie Goodyear and said that she felt like she was set up to look the bad guy following her friendship with Ashley McKenzie.
"I'm going to be known as the girl who leads on guys. I'm going to be fuming when I get out of here," she told Danica.
"I can't stay. If I stay on Wednesday I have to go Friday. I'll look at them and tell them I have to leave."
Rhian added: "I physically can't stay."
The glamour model, Danica, The Situation and Samantha Brick face possible eviction from the Big Brother house tonight.
Celebrity Big Brother continues every night on Channel 5.
[Celebrity Big Brother - Latest Pictures]