The suit, which does not name Nygard as a defendant, alleges that Medeiros trafficked her and other women to the Finnish-born designer.
In exchange for her services, Medeiros was handsomely rewarded with cash, plastic surgery, stem cell injections, jewelry and four luxury cars including a DeLorean.
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Medeiros was an employee of Nygard International — the clothing company headquartered in Times Square — but she was really a sex worker, the papers allege.
The suit is seeking compensatory and punitive damages.
Jane Doe refused, and Medeiros abruptly left the island, abandoning the teen girl.