Daivi in Sanskrit means divine, and prakṛti means nature. This term refers to the original spiritual nature, out of which matter (guṇa-māyā), personified as goddess Durgā, manifests (see Bg. 7.14). The word daivi is closely related to deva, God. Daivi-prakṛti is therefore nature that is abhinna, not separate from God.
A synonym for daivi-prakṛti is para-prakṛti (superior nature, see Bg. 7.5). Śrīla Prabhupāda explained the daivi-prakṛti to be the person of Śrīmatī Rādhārāṇī: … Just like we are trying to be under the guidance of Rādhārāṇī, daivi-prakṛti. Prakṛti means woman, and daivi means transcendental woman. (SB lecture in Los Angeles, August 19, 1972) See Prakṛti, Rādhārāṇī.