The Irish contestant caused uproar last week when he made threatening remarks about Deana and announced that he would happily "punch" her following her poor performance in a task.
Of the more than 11,000 people who voted in our exclusive poll, 59.4% said that Conor should have immediately been ejected for his actions.
21.8% felt that the 24-year-old should be given a final warning, while only 18.8% were satisfied enough by his apology to Big Brother.
Conor's treatment of Deana attracted a huge number of complaints to Ofcom, though a Big Brother executive producer has stood by the show's handling of the incident.
Conor has been nominated for the public vote this week against Deana herself, Arron Lowe and Becky Hannon. He is currently the overwhelming favourite for eviction in our ongoing poll.
Continue voting in Digital Spy's eviction poll below: