A literal muse, a goddess who inspires artists as they offer her their love. Come on, we are all lovers of the written word here to some extent no? It is a good example of a positive feedback loop, your love for them gives you inspiration and the inspiration brings more love for them.
Also unlikely to eat or murder you so there is that at least.
Athena, virgin goddess notwithstanding, would be the perfect nerdy, intellectual girlfriend in some interpretation of her myth. Also really unlikely to lead to your untimely death unlike say, Ishtar or the Morrigan. For those people who thought that the yandere character archetype had its roots in anime, I would say you really should brush up on your ancient mythology.