Athena

After trying to search for some images of the goddess Athena, I've come to notice that many pictures showed her in war armor. That's understandable, considering that she is the goddess of wisdom and war. However, in Ancient Greece, men had more power and influence in the society. Warlords and philosphers were all men. It would seem resonable that warfare and intelligence were believed to be suitable for men only during that time. Thus it made me wonder: why is the deity of wisdom and war was chosen to be in the form of a woman?