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.
Inuyasha would also be worried about Kagome's safety. He knows how devious Naraku can be. He might call out to Kagome as he gets closer to Naraku's lair, hoping to hear her voice and know that she's still alive. His reaction would be a mix of anger, worry, and determination to rescue the woman he loves.
Inuyasha may become uncharacteristically gentle. He'll softly speak to Kagome, asking how she feels. His actions are driven by his deep - seated feelings for her. He might even share some of his own insecurities with her while she's sick, like how scared he is of losing her. He'll also be on high alert for any danger, ready to defend her at a moment's notice.
Kagome would probably be shocked at first. Then she would start yelling at Inuyasha, demanding to know why he's doing this. She's not the type to just sit there and take it.
Some of Kagome's friends might be curious. They've heard so much from Kagome about Inuyasha, so when they meet him, they want to ask a million questions. Others could be cautious. After all, he's a half - demon with a sword. But over time, they'll probably warm up to him.
Inuyasha's demon friends and family might be a bit skeptical at first. Some of the more traditional demons might think that a human like Kagome is not a suitable match for Inuyasha. However, over time, they would see how much they love each other and come to accept her. Kagome's family from the future would be worried about her staying in the past but also happy that she has found love. Her mother especially might be sad to see her go but also supportive knowing that Kagome has made her choice.
Inuyasha would likely be very angry at first. He's used to having Kagome's attention and affection, and seeing her fall for Kouga would feel like a betrayal. He might lash out at both Kagome and Kouga, and there could be some intense battles between him and Kouga.
Kagome usually gets very worried. She'll immediately try to use her spiritual powers to heal him if she can. If not, she'll search for herbs or other ways to help. Miroku would likely offer his support in a more practical way, like finding a safe place for Inuyasha to rest. Sango might be on guard, making sure that no more enemies take advantage of Inuyasha's weakened state.
He might be shocked at first. After all, he has probably only heard stories about his father. Then he could be angry, blaming his father for not being around when he was growing up.
Inuyasha would probably be very angry at first. He has always had a possessive streak when it comes to Kagome. He might see Koga as a rival and try to fight him. But as time goes on, he could start to realize that Kagome is happy with Koga and, though it would be difficult for him, he might eventually back off and respect her choice.