This article discusses the rare bronze figurines of goddesses in the "smiting god" pose - left foot forward, both arms bent 90°, right one raised, weapons held in both hands (usually lost). The particular statue being discussed also wears the Isis/Hathor horned sundisc, which other Syro-Palestinian goddesses wear (possibly including Anat) but "in a peaceful attitude".
"Athtart (Ashtart/Astarte) is less often mentioned and more obscure [than Anat], but may have had some similar functions. Some scholars have stressed her war attitude and her roles in hunting and chariotry. Later she becomes more sensual and less warlike. In the Iron Age, in fact, Anath seems to disappear or, at any rate, loses her importance, while Astarte assumes her functions and becomes the chief female deity of the Phoenician pantheon." (p 74)
In the Contendings of Horus and Set, the goddess Neith suggests that Set be married off to Anat and Astarte, while Horus gets the throne. "However," remarks te Velde, "the gods do not entertain this proposal."
However, Set is linked sexually with Anat in Papyrus Chester Beatty VII, which possibly tells the story of Set raping (?) Anat while she was bathing, and how "the poison" ("the same Egyptian word was often used for 'seed', 'semen', and both senses are here intended together", remarks Gardiner) went up to his own forehead, making him sick. Anat begs Re to save Set. Re addresses her as "'Anat the divine, she the victorious, a woman acting as a warrior, clad as men and girt as women", and says ("cryptically"): "[Is it not?] a childish punishment (for?) the seed-poison put upon the wife of the god above [ie, Re] that he should copulate with her(?) in fire and open her(?) with a chisel?" In the end Isis arrives in the form of "a Nubian woman" and heals Set (and thus the patient, afflicted by scorpion poison).
te Velde notes that Set has sex with 'Anat "who 'is dressed like man'", and quotes W.R. Dawson in a footnote: "The method by which Seth took his pleasure of 'Anat is interesting, as it further illustrates his already well-known homosexual tendencies." (p 37) However, both authors seem to be assuming that Anat was bathing fully clothed. ETA: Dawson's point is that Anat was on her hands and knees; otherwise, she would have drowned. But he also concedes that it wasn't anal sex, since "defloration resulted". tl;dr Egyptologists are weird.
Gardiner: "That 'Anat became the consort of Seth is also implied by the obelisk of Tanis", on which Anat is called "the great cow(?) of Seth". (p 62)