Akitoki Hōjō

is an ancestor of Kagome Higurashi's classmate Hōjō, who harbors a crush on Kagome. Akitoki also falls in love with Kagome though his feelings go unrequited.

He is traveling to dispose of a sword that has brought nothing but trouble upon his family. He meets Inuyasha when Inuyasha saves him from bandits. It soon becomes clear that he has had a crush on Kagome since first meeting her.

Due to finding her name on her classmate Hōjō's family tree, Kagome begins to wonder if maybe she is to end up marrying Akitoki. Also, due to a comment Inuyasha makes about demons and humans just not understanding each other, Kagome further ponders if she really does end up marrying Akitoki rather than Inuyasha.

When Kagome is held hostage by Hoshiyomi, Akitoki jumps in and gives a speech about how weakness is what enables humans to understand each other and how love never fades in humans and mortals.

Later, he confesses his love for Kagome and that he loved her with all his strength; saying how she was different and special from anyone else he had ever met and he would go as far as to die to save her. He jumps in to save Kagome and ends up getting hurt less than she did.

After seeing Kagome and Inuyasha together, he secretly leaves Kagome and the others while they are all arguing near a river. In the end while traveling, he meets his future wife, Suzaku. Akitoki asks her to change her name to Kagome, which is why the name "Kagome" is present in Hōjō's family tree.

Reference
Akitoki Hōjō 北条秋时