Circe turns Wonder Woman into a pig, but according to Greek mythology she can only turn MEN into animals and because she can only do so by using a man's lust to turn him from a figurative animal into a literal animal. What's more, she turned people into animals that represented them- greedy people became pigs, but people with other animalistic traits ended up in other ways.
When Circe's spell is broken, and Wonder Woman returns to human form, she breaks the ropes binding her wrists, however she should have been powerless, as she / her bracelets had been bound by men, which is her weakness (and had been how the Thanagarians restrained her in Justice League "Starcrossed: Part 2").