So I don’t remember the name of the story or where I read it. It was either on this site or ff.net. I don’t even remember what the story was about. Although, I think it was a chapter story.

The scene I have stuck in my head is one where Sesshomaru was injured fighting a demon while protecting Kagome. I think she was either hurt herself or just extremely exhausted, and he might have been very tired as well and that was why he was injured. When she woke and went in search of him she found him resting against a tree and injured. I want to say his beast was in control. I think since she didn’t have any first aid supplies she used her reiki to create stitches, and he was surprised by that when he became more coherent.

I also kind of want to say they were courting or they were still getting used to having feelings for each other. I also think they were on a trip of some kind away from his home for a bit. And I have no idea where everyone else was but I’m sure they were in the story.

This is very familiar, read it in the past 18 months or so, do you recall if its complete?

I found this story earlier it is rated K on FF.net
Although I don't think its the one I'm thinking of:

Benten's Lesson K
www.fanfiction.net/s/5717162/19/Benten-s-lesson

Sadly it’s not the one, but I have read that chapter. Haven’t finished that story though. Maybe I’ll finish it someday.

Anyway, unfortunately I don’t remember if the story I’m looking for was complete or not.

I believe your looking for a story called "Mine"
I don't remember who wrote it but you can find it on this site and it is rated MA here so be careful.

The only story I know of by that title is written by Angelic Memories, and I can’t seem to find the scene in it. Do you happen to know what chapter it is in if this is the story you were referring to?