Well, I've been searching for this fix for the past couple of days and I just can't seem to find it it's this story where Sesshomaru is seen with Rin and starts a new 'trend' in the demon society where humans are new kind of pets. Gome somehow ends up with Sesshomaru and is mistaken as his newest pet. And he ends up having to show her off in front of other demon lords and etc. I don't exactly remember if it was complete or not, or if it was on dokuga or ff.net
Sorry if this wasn't much to go off of but help would be much appreciated!
Thanks!

Could you be thinking of A Kitten Named Kagome by Speedy Tomato?

dokuga.com/fanfiction/story/5001/1

Rated MA NO YIMS!

Or there is this one: My Pet by PegasusRider rated T

www.fanfiction.net/s/2393797/1/My-Pet

try this:
url: inu.adultfanfiction.net/story.php?no=600096744
title: She Is Our Miko
Author: Duchess Of Darkness

MA so no yims
there is another one that is niggling at me but I will have to search

mango wrote:
Or there is this one: My Pet by PegasusRider rated T

www.fanfiction.net/s/2393797/1/My-Pet

This one is definitely it, because I remember the whole trend thing. But... did Rin find Kagome passed out in a river?

Ahh!! Thank you guys!!
It turned out to be My Pet by PegasusRider finally able to scratch that brain itch!
THANKS Y'ALL!!!
P.S. Rin did find Kagome passed out in the river! But unfortunately for Sesshomaru she ended up as his miko pet