dog was a euphemism, but it was used as a general slur. sometimes it was used to mean male prostitutes, as in david: "dogs have surrounded me, they compass me about", sometimes it was just a generic insult, like when christ called the canaanite woman a dog and the stupid slut agreed with him so he took pity on her and healed her "issue of birth", i.e. her cunt wouldn't stop bleeding. it just meant "you're an animal, you're subhuman, you're a beast". it meant no insult to actual dogs.
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