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She told the Swedish Labour Court that the interviewer, an executive at the company, had become red in the face and told her: "Here, everyone must shake hands".
Alhajeh claims she was then frogmarched out of the office and told the interview was over.
"As soon as I got into the lift I started crying," she told SVT. "It had never happened to me before - it didn't feel good at all. It was awful".
She told the broadcaster she had then decided to report the company to Sweden's Discrimination Ombudsman, who took her case to court.
"Of course it's reasonable for an employer to ask employees to treat all colleagues the same, but you have to be able to greet people in different ways," a Discrimination Ombudsman spokesperson told SVT.
This week, the Labour Court ruled in her favour, and ordered the company to pay Alhajeh 40,000 SEK ($6609) in compensation.
"I believe in God, which is very rare in Sweden... and I should be able to do that and be accepted as long as I'm not hurting anyone,' she told the BBC.
"In my country... you cannot treat women and men differently. I respect that. That's why I don't have any physical contact with men or with women.
"I can live by the rules of my religion and also at the same time follow the rules of the country that I live in."