This is a completed fic. 
Kagome becomes a goddess. 
She goes to train with Sess and decides she wants to study time travel while she is with him since the well closed.  
A cornucopia reacts to her and spits out a bunch of tampons and a kitten to comfort her, which is when he realizes her new divine status. 
He then realizes that she took the place of a goddess that he had previously killed. 
This causes him to try to kill her, but of course that doesn’t work out. 
I have a few more details, but I’m not certain if I’m confusing it with another fic so I will leave them out for now. 
Any help would be greatly appreciated.