Can the master of a non-Muslim female slave contract her marriage to a non-Muslim?

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The master of a non-Muslim female slave may marry her to a non-Muslim because she is unlawful for Muslims to marry. The guardian appointed for the master of a non-Muslim female slave may also perform this contract for a non-Muslim, as this is a guardianship based on ownership ('wilayah bil-milk'), which is not negated by the master being Muslim, similar to other forms of ownership-based authority. No other guardian besides her master exists for her.