Hunt for the Eye of God
From Zhong Li, we learn that Baal closed all routes to Inazuma and issued a decree on the "Hunt for the Eyes of God", with the goal of inserting all the Eyes of God into the statue of a thousand-armed hundred-eyed deity. Paimon also notes that a year ago things weren't so bad. Furthermore, no one, not even people born outside of Inazuma, has received a single Electro God Eye since the edict was issued.
As to the reason for this edict, Zhongli suspected that Baal thought visions were divine blessings, so they should be under the sole dominion of the deity. He believes that she has finally decided to eliminate any unstable elements that could threaten her eternal realm.
Shogun Raiden
Baal is known as the leader of Inazuma and its governing body, the Bakufu of Inazuma. Just as Morax is known in Li Yue as Rex Lapis, Baal is known in Inazuma as Shogun Raiden. She is predicted to resemble Raiden May's appearance from "Honkai Impact 3rd".
The Bakufu of Inazuma is the governing body of Inazuma, and it will likely be similar to the Qixing Group in Li Yue. Ayaka's family, Kamisato, is predicted to be part of Inazuma's Bakufu.
Apart from the Bakufu, there is another known entity, the Kanzobuge. They are the ones who control the Inazuma border and, as Atsuko described, conduct due diligence for any Inazuma citizens who hope to leave.
Genshin Impact developer miHoYo hasn't announced a release date for Inazuma, but leaks saythat this will happen in update 1.7. This region has been highly anticipated by Ayaka fans since the beginning of Genshin Impact, as it may be a sign of the release of the Cryo Princess.
Also, according to rumors, in version 1.7 we are waiting for many other characters, natives of Inazuma. We know that Baal will be joined Sayu, eymia, Tom, Goro, Guji Yae и Kujo Sarah, the closest associate and right hand of Shogun Raiden.