The Israeli Plonit case concerns a Muslim woman who wished to be represented by a female arbitrator in a Shari'a Court. The Shari'a Court of Appeals denied her request and decided that Shari'a Law permits only men to serve as arbitrators. Plonit petitioned the Israeli Supreme Court, which accepted her petition and decided that the Shari'a Court of Appeals' decision infringed her right to equality. While I support the outcome of the Supreme Court's decision, my paper sheds a light on a crucial matter that is absent in the decision; namely, the right to culture of Muslim women, who are a vulnerable members of a minority group in Israel, and therefore constitute a "minority within minority". Analysing the case in terms of Plonit's right to culture, in addition to her right to equality, has two advantages. First, it stresses the main issues at the heart of the legal debate, which are the minority culture's norms and practices, and the right of the minority within the minority to influence and shape them as much as the majority within the minority. Second, when the minority within the minority's claim is put in terms of the right to culture, and not only in terms of the right to equality, they are not necessarily perceived by other minority members as claims that try to enforce external norms on the minority culture.