When Kimmel started to read details of her alleged encounters with Trump, Clifford interrupted: "I thought this was a talk show, not a horror movie. Because this is a whole different pay scale."
Clifford's allegation, first made in 2011 and then again a month before the election, went mostly unnoticed until the Wall Street Journal reported earlier this month that Cohen brokered a $130,000 payment to Clifford to keep her from publicly discussing it.
A week after that report, In Touch magazine printed a 5,000-word interview it conducted with Clifford in 2011 but never published after Cohen threatened the tabloid with a lawsuit, the Associated Press has previously reported.
In that interview, Clifford described a single sexual encounter with Trump in 2006 when he was recently married to his third wife, Melania, as well as a subsequent years-long relationship with the reality TV star. The magazine said it corroborated her account with friends and that she passed a lie detector test.
In her statement Tuesday, Clifford said she wasn't denying the affair because she was paid "hush money," but rather "because it never happened."
Neither Cohen nor Clifford have addressed whether she was paid $130,000, and if so why.