Kagome is brave and has a sense of adventure. She's not afraid to face danger head - on. Draco, though he tries to act tough, is often caught up in the expectations of his family and the pure - blood society. Their personalities would clash as Kagome would be quick to call out Draco's cowardice when he's following his family's wrongdoings. But they could complement each other in that Draco could introduce Kagome to the more refined aspects of wizarding culture, and Kagome could inspire Draco to be more independent and true to himself.
Kagome is a compassionate person who values all life. Draco has been brought up in a world where blood purity matters a great deal. This would be a major clash point. But Kagome's ability to forgive and her open - mindedness could slowly wear down Draco's prejudices. In terms of complementing, Draco's cunning and strategic thinking could be an asset to Kagome when they are in difficult situations together, and Kagome's positive energy could bring some light into Draco's rather gloomy view of the world.
Kagome is a very kind - hearted and determined person. She's used to fighting for what she believes in, especially when it comes to protecting her friends and her world. Draco, on the other hand, is initially quite haughty and self - centered. Their personalities would clash because Kagome would not tolerate Draco's snobbish behavior. However, they could also complement each other. Draco's knowledge of the wizarding world's politics and magic could be useful to Kagome, while her strong moral compass could help Draco to see a different way of life.