Inuyasha could go on a dangerous quest to find something that would prove his remorse. For example, a rare flower that has healing properties not just for physical wounds but also for emotional ones. He would face all kinds of perils on this quest, and when he returns with the flower, it shows Kagome how far he's willing to go to make things right.
He might start by sincerely apologizing. Just saying sorry with all his heart, looking into Kagome's eyes. He could also offer to do things for her, like getting some special herbs she needs for her medical kit or protecting her more vigilantly during their travels.
Well, it might also lead to some sort of internal struggle within Inuyasha. He could be filled with guilt for hurting Kagome. This guilt might cause him to be more cautious in the future, not just with Kagome but in general. As for Kagome, she may initially be angry, but her love for Inuyasha could also make her struggle with forgiving him quickly.
One common theme is probably misunderstanding. Inuyasha might misinterpret Kagome's actions or words, leading to him saying or doing something that hurts her. Another could be jealousy, for example, if he gets jealous over Kagome's interactions with other characters and reacts in a way that causes her pain.
Kagome might respond with anger. She could be furious at Inuyasha for his betrayal and might lash out at him. She might use her spiritual powers against him in a fit of rage.
Well, in some fanfictions, Kagome might hurt Inuyasha by saying mean things. For example, she could bring up his past mistakes or insecurities in a cruel way during an argument. This could really wound his pride and his feelings towards her.
I'm not sure of specific 'Inuyasha Hurts Kagome' fanfiction titles off - hand. But you can try searching on fanfiction - dedicated websites like Archive of Our Own or FanFiction.net. Just type in the relevant keywords in their search bars and you should be able to find some works.
One common scenario is when Inuyasha is too stubborn to listen to Kagome. He might think he knows best all the time and not give her a chance to speak or contribute. This makes Kagome feel ignored and unimportant. For example, when they are discussing a strategy to fight a powerful enemy, Inuyasha just shuts her down without even considering her ideas.
Well, in some fanfictions, Inuyasha might hurt Kagome's feelings by being overly possessive. For example, he could get jealous when Kagome talks to other male characters and then say something harsh. Another way could be that he doesn't trust Kagome's judgment at times, like when she tries to come up with a plan to deal with a demon and he dismisses it rudely, making her feel unappreciated.
Inuyasha is devastated when Kagome gets hurt. He blames himself, especially if he was supposed to be protecting her. He'll pick her up gently and try to find a safe place to tend to her wounds. He might also call for help from his friends like Miroku or Sango. He'll stay by her side until she recovers, constantly on guard against any further threats.
Well, there could be a situation where they are having a quiet moment alone, perhaps by a beautiful, serene lake. Inuyasha, who has been struggling with his feelings for a long time, finally gathers the courage. He looks into Kagome's eyes and simply says something like 'Kagome, I love you.' It's a very straightforward yet heart - warming way of confessing.
At first, their relationship would be severely strained. Kagome would be angry and scared, feeling betrayed by Inuyasha. She might not trust him at all anymore.