Divine intervention by king in rejected plague story (7)

I believe the answer is:

godlike

I'm a little stuck... Click here to teach me more about this clue!

'divine intervention' is the definition.
'godlike' can be an answer for 'divine' (thesaurus). I am not sure about the 'intervention' bit.

'king in rejected plague story' is the wordplay.
'king' becomes 'k'.
'in' is an insertion indicator.
'rejected plague' becomes 'god' (I can't justify this - if you can you should give a lot more credence to this answer).
'story' becomes 'lie' (I've seen this before).
'god'+'lie'='godlie'
'k' going inside 'godlie' is 'GODLIKE'.

'by' is the link.

Can you help me to learn more?

(Other definitions for godlike that I've seen before include "Olympian" , "Divine" .)

I've seen this clue in The Guardian.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.