an alien—

(A) whose child has been battered or subjected to extreme cruelty in the United States by a spouse or a parent of the alien (without the active participation of the alien in the battery or cruelty), or by a member of the spouse or parent’s family residing in the same household as the alien and the spouse or parent consented or acquiesced to such battery or cruelty, and the alien did not actively participate in such battery or cruelty, but only if (in the opinion of the agency providing such benefits) there is a substantial connection between such battery or cruelty and the need for the benefits to be provided; and

(B) who meets the requirement of subparagraph (B) of paragraph (1);