"This is to provide safety and respect for women interacting with men. Whether or not we agree with these rules, whether they are paternalistic of unduly restrictive and need 'modernising' is a question for practising Muslims," she wrote today in a piece published by Newshub.
"So while in western culture refusing to shake hands is a huge sign of disrespect, in the Muslim world touching strangers of the opposite sex is hugely disrespectful and a breach of Islamic law. "
Luxton yesterday said she felt uncomfortable with the rule but understood she would be dealing with situations involving cultural differences.
But Labour's Rino Tirikatene called it an affront, and Kieran McAnulty said it was unacceptable.
Foreign Affairs Minister Winston Peters said he expected the committee would prepare a report for the Prime Minister.
"You can be polite as you possibly can but it does not require a handshake," he said yesterday.