The duo clashed after Arron had a calm discussion with Benedict Garrett about comments he made to other housemates about the porn star being "boring".
Arron told Benedict that he was "definitely not boring, dude", and claimed that it was the "first word [he] could think of". "I'm not very, what is the word, literate," he said.
The male model accused his fellow housemates of "s**t stirring" trouble between himself and Benedict, describing anonymous members of the house as "horrible two-faced c**ts".
When the discussion finished, Arron told onlookers Deana Uppal and Lydia: "I hope you enjoyed that."
An enraged Lydia responded: "Ask anyone in this house, I was actually the person saying, 'Give Arron a chance', so don't you dare turn on me. Don't you dare! Do you want me to leave, I'm eating my breakfast."
Arron replied: "Enjoy your breakfast then." Deana said: "Yeah, we will."
Arron insisted that he wasn't inferring they were the people stirring trouble, but Lydia refused to back down in the argument.
"Don't you dare say my name, don't you dare!" she shouted.
When Arron accused Lydia of playing the victim, she replied: "How would I ever be a victim of you Arron? Are you joking? I've been around the world many more times and I've seen more than you've seen so don't say I'll ever be a victim of you.
"You are 23 years old. Guess again little boy."
Big Brother airs every night on Channel 5.
Photo gallery - Big Brother Day 13 Pictures: