Speaking to the Hadashot News channel, Miss Israel Adar Gandelsman, 20, revealed that Ms Idan's family was being harassed over the viral photo as well as the fact that she had posed in a bikini during the Miss Universe pageant.
"People made threats against her (Ms Idan) and her family that if she didn't return home and take down the photos, they would remove her title, (and) that they would kill her... Out of fear, they left Iraq at least until the situation calms down," The Jewish Chronicle quoted Ms Gandelsman as saying.
Ms Gandelsman added that the two women had remained in touch after meeting at the pageant in Las Vegas, Nevada. Ms Idan, 27, lives in the United States.
She also quoted Ms Idan as saying she had "no regrets" about posting the photo on Instagram. The caption of Ms Idan's selfie read "Peace and Love from Miss Iraq and Miss Israel."
Last month, Ms Idan apologised to those who took her posing with Miss Israel to suggest she was expressing support for the Israeli government.
"This picture doesn't mean I support the Israeli government or its policies towards Arab countries. I apologise to everyone who saw it as an insult to the Palestinian cause - this was not its purpose," she clarified in a statement in Arabic.
Ms Idan was born and raised in Baghdad, Iraq. Following the US-led invasion in 2003, she worked with the American military from 2008. She later moved to the US. Click for more trending news