I Have a Weird Dynasty

No romance (no CP), strong female lead, supernatural, power-up/level-up, minor ensemble cast, subtle Cthulhu Mythos elements, two-world inter-travel.

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A charm coin opens the Nine Nether Gates, allowing her to travel freely between reality and the world of the詭朝 (Guichao - Ghost Dynasty/Spiritual Court).

She is the King of the Guichao, the Lord of the Nine Nether, able to draw a carved bow like a full moon, and with one arrow, make ghosts and gods weep!

She is also a普通 (pǔtōng - ordinary) student in the real world, who is once again punished to stand for not submitting her homework.

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Sang Que: Teacher, I finished my summer homework, but I can't find it.

Teacher: My great-grandmother told me in a dream last night that a kind ghost gave her a summer homework assignment and asked her to bring it. Your class and name were on it, but there was nothing written inside!

Sang Que: Teacher, there are no ghosts in this world, you're lying to me.

Teacher: So why did you leave your summer homework at my doorstep?!

Sang Que: …………

(Even if I throw my summer homework into another world, it still gets sent back. "Kind ghost," huh? Just wait until after school, I'll slay you!)