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Elizabeth Smart leaves the federal courthouse on Monday in Salt Lake City, Utah. ((Associated Press))

Elizabeth Smart, whose 2002 kidnapping captivated Americans, told jurors Tuesday how a Salt Lake City police detective tried to see behind her veil but backed down when the man accused of kidnapping her said her face was hidden for religious reasons.

"I was mad at myself, that I didn't say anything," she said on her second day of testimony in the federal trial of Brian David Mitchell. "I felt terrible that the detective hadn't pushed harder and had just walked away."

Smart, now 23, was 14 when she was taken at knifepoint in June 2002 while sleeping. Nine months later, motorists spotted her walking in a Salt Lake City suburb with Mitchell.

Mitchell, 57, faces life in prison if he is convicted of kidnapping and unlawful transportation of a minor across state lines with the intent to engage in criminal sexual activity.

The close call happened months after her abduction. The detective had approached a robed Smart sitting at a library table and asked if he could look under the veil she wore across her face.

"He said he was looking for Elizabeth Smart," Smart said. Under the table, Mitchell's wife at the time, Wanda Eileen Barzee, squeezed Smart's leg, a sign, Smart said, that she should remain quiet. 

Mitchell stood between Smart and the detective.

"He said that it was not allowed in our religion and that only my husband would ever see my face," Smart said.

The detective pressed.   

"He asked if he could be a part of our religion for a day, just so he could see my face, just so he could go back (to the police station) and say, 'no it wasn't Elizabeth Smart,'" she said.

Mitchell remained cool and calm, stating again firmly that it would not be allowed. The detective gave up and left, Smart said. Afterward, Mitchell sped up plans to move the trio away from Utah, so Smart would not be discovered, she told jurors.

The encounter came in early fall, weeks after Mitchell and Barzee first brought Smart with them into the city — essentially hiding her in plain sight but keeping her under his control with threats on her life.

"He told me that I needed to stay next to him at all times and that if I tried to run away, I would be killed," Smart said, describing her first venture into the city.

Smart said Mitchell took her to a noisy, "rave-type" party he was invited to by a grocery store employee he had befriended. 

"There was a lot of drinking and drugs," she said, adding she could smell cigarettes and marijuana burning.

Smart said Mitchell was forced to drink a liquid laced with the hallucinogenic absinthe. Mitchell also became very territorial when the grocery clerk, Daniel Trotta, tried to talk to her, Smart said. 

"He said this is my daughter and she can't talk to you," she said.

The trip was the first of many that a white-robed Smart, her face hidden behind a veil, made with Mitchell. It also came within weeks of Mitchell's July 24 unsuccessful attempt to kidnap one of Smart's cousins, Olivia Wright, from another part of Salt Lake City.

The following day, Mitchell forced Smart to metaphorically sever any remaining ties with her family by burning the red pyjamas she had been wearing on the night she was taken, she said.

"I didn't want to let go of my family, of my life," Smart said.