A spokeswoman for the force said: "This request was only granted by members of training staff out of a desire to minimise any disruption to others' enjoyment and to ensure the smooth running of what is one of the most important events in an officer's career."
She added: "The officer maintains that she puts the requirements of being a police officer above her personal beliefs and only exercises the latter when she has choice to do so.
Muslim groups defended the police officer, saying her beliefs would not affect how she carried out her job and called for greater understanding of different cultures.
Massoud Shadjareh, chairman of the London-based Islamic Human Rights Commission, said: "I don't think shaking hands is something that makes or breaks a relationship.
Sheikh Ibraham Mogra, of the Muslim Council of Britain, said people should not be alarmed by the officer's beliefs and that Muslim law "was not set in concrete".
"If she has to resuscitate that dying person, Muslim law will then change and allow her all sorts of physical contact because a life is at risk and life is so precious.
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