Aliya and Integration Minister Ofir Sofer expressed strong condemnation of the woman's intention to burn the Torah.
When Torah scrolls and other sacred texts are damaged in a way that cannot be repaired, they must be placed in a "genizah."
Pro-government and state media in Turkey appear to be trying to put Sweden's Jewish minority in the middle of the controversy.
The display was unveiled for International Holocaust Remembrance Day would help combat "big denial" of the Holocaust in the region.
The Religious Services Ministry has recognized 15 women for their participation in Jewish leadership roles