Echidna says that because she thinks she is special.
Zeus
Percy managed to escape from Echidna and her son the Chimera by using Riptide, his magical sword given to him by his father Poseidon. He defeated the Chimera by slicing off its heads and then used Riptide to incapacitate Echidna before fleeing to safety.
Arch in St Louis
In the Battle of the Labyrinth, Percy fought Antaeus, his half-brother.
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percy
Percy thought that the chimera was a very frightening monster, while he thought of Echidna's name, which was the name of an anteater.
Percy got attacked by echidna, then he fell into the river, meeting the water spirit or maiden or whatever.
He put it in a box, wrapped it with plastic bags, and mailed it to Mount Olympus.
Percy killed medusa in the lightening thief
Technically, NO ONE sends Echinda after Percy in the Lightening Thief by Rick Riordan. Monsters just seem to find Demigods because they have a specific scent.
Percy killed Medusa at Aunty Em's Gnome Emporium after they ran from the bus.