The Sunday Mirror operation used an image of Malin Sahlen on a Twitter account purportedly belonging to a fictitious party activist called Sophie Wittam, before trying to flirt with MPs.
Civil society minister Brooks Newmark, a married father of five, resigned over the weekend after it emerged he had sent explicit pictures of himself over the social network.
Fellow Conservative MP Mark Pritchard, a single man who was also targeted, said he is making a complaint to the new press watchdog, Ipso, and Scotland Yard over alleged entrapment.
Speaking to Swedish newspaper Aftonbladet, Sahlen said she had not given permission for the photograph she posted online to be used.
“I am shocked and it is unpleasant for someone to use the picture without permission,” she said.
Another woman, whose “sunbathing selfie” was used as part of the sting, also said she had not given permission.
Charlene Tyler, 26, from Boston, Lincolnshire, told The Daily Telegraph: “I think grown adults can do whatever they like as long as both of them are over the age of consent... I don’t think it’s something to resign over.
“The fact that a newspaper was stealing my photograph is quite wrong. The newspaper’s taken it too far.”
However, the Sunday Mirror insisted the story was in the public interest. Alison Phillips, its weekend editor, told The Guardian: “This investigation was brought to the Sunday Mirror by a freelance reporter.
“The investigation, which had a clear public interest, was carried out following information from a reliable source.”