Laid-Back Camp (a little... probably?) + Puella Magi Madoka Magica + (ennnn, hehe, I don't know). Since I don't have an outline, if you'd like me to add a character, mention them in the comments. I'll see if I'm familiar with them and then try writing them in. Otherwise, this is really hard to write. Just a heads-up: the main plot moves pretty slowly. At the current pace, the protagonist won't get a golden finger until chapter twenty.
...If we're talking about transmigrators who have it worse than me, maybe only that Venerable One has it worse? Who else gets dropped, right after transmigrating, into what seems to be a dark Laid-Back Camp fanfic world created by some weirdo? That alone would be manageable. I could even accept having a delusional disorder. But then you tell me all of this was caused by this "church otherworld"? And they did it because they want my body? Is this trope really that old??? Can't you come up with something more original? ...Whoa, you actually can?! But why is there a sleeping Kyoko living in my head? Is this some kind of growth-type setup? Hmm, does that mean I can become a "Pokemon Master" and collect them all? Whenever something goes wrong, I can just toss Kyoko out and hide in the back, munching popcorn? ...That might actually work, huh?
Which side is the idiot? They're keeping the secrets tightly under wraps and then blaming ordinary people for breaking the rules. Which side is the idiot here?