Rupa Goswami calls the subject of spiritual sex in the perfect sense "Kamarupa." Below is my translation of his description of Kamarupa Ragatmika, taken from Bhakti Rasamrita Sindhu 1.2.283-287.
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tatra kAmarUpA
Now, KAmarUpA
Having verified his statement that there are two types of RAgAtmikA, and having addressed the confusions that arose, Rupa Goswami now proceeds to define and describe those two types of RAgAtmikA, beginning with KAmarUpA.
sA kAmarUpA sambhoga triSNAM yA nayati svatAm |
yad asyAM kriSNa-saukhyArtham eva kevalam udyamaH