Was going to try and catch some typos/missing text but JAGwin beat me to it.
As for the vote...
[X] Accept the invitation. Artemis has been talking about how important an alliance with the Divine Realm is, and the Realmers do seem to like you. Perhaps, if you help the Sun Father with whatever he wants done, you can convince them to come and help Artemis and the Kingdoms sooner rather than later! This will take time, though, especially since you can't justify keeping Bucephila with you, she needs to get back to her friends. You also have no idea what you're getting into…
As much as it'd be great to go back, talk to Artemis, and then head over... I feel like that's not really gonna be feasible.
The downsides to this are that if the Empire mounts a new offensive while Ryza's gone, it's likely going to make people think worse of her (unless Ryza really does manage to get the Divine Realm to help sooner rather than later). Additionally, we're making the decision and leaving to do this without any real idea of how long it'll take. Also also, being told "don't worry this is totally not a trap" is... not exactly the most reliable thing to hear (as readers who know what "tropes" and "foreshadowing" are).
The upsides are that it'll be interesting to see more of the Divine Realm, especially after Ryza's earlier thoughts about their religion. And as Ryza herself says, an alliance with the Divine Realm is important, so helping with that is important even if it doesn't result in immediate aid - plus, Ryza herself making more allies is very good for the goal of getting people to accept Manaketes.