Saja al-Dulaimi, arrested in November 2014 in relation to terror links, was released by Lebanon in a prisoner swap in December 2015.
"Baghdadi was not a bloodthirsty terrorist back then and that he a university lecturer and a family man," she was quoted as saying in an interview to CNN Swedish affiliate Expressen TV.
"He was great. He was the children's ideal father. The way he was with children ... he was a teacher you know how teachers are. He knew how to deal with children, better than how to deal with the mother," she said.
"He had a 'mysterious personality' which is why they could not talk like other couples did, while admitting that it was difficult being the second wife and that it was hard for two wives to live together," she added.
Baghdadi tried to get her back several times after she ran away from him after she became pregnant.
"But I'd already made my mind up," she said.
Dulaimi and Baghdadi last spoke in 2009, when he again tried to get her back.
She is now concerned about her daughter's safety.
"If I'd wanted to live with him, I'd have lived like a princess. I could have moved in with them and had loads of money. But I don't want money. I want to live in freedom, live like everyone else," she said.