Oh honey, there's nothing bad about Athena herself. She's the goddess of wisdom, courage, and inspiration, a real powerhouse in Greek mythology. But if you're looking for flaws, maybe her competitive nature or occasional arrogance could rub some people the wrong way. But hey, nobody's perfect, not even a goddess.
Good
she Raped zues
bad
She believed the economy was bad and the people were bad.
Athena is a Greek goddess; they can be "good" and "bad" just like people.
spiders and bad temper
She isn't bad but sometimes she gives harsh punishments.
because she was the goddess of wisdom
Well, because she was a goddess, not a male god.
Arachne was better at weaving than her, and Athena was the goddess of household crafts, so Arachne being better than her made Athena angry.
She admired his cunning and wit.
Athena had a relationship with Zeus because Zeus had a really bad head ache and one of the cyclops made an axe and chopped Zeus's head and Athena popped out of his head. So Athena was his daughter.