Even though you were a demon, Giyu was the only demon slayer you liked and never killed him. He started to take you along with him on his missions depending how difficult they are and gave you a bamboo muzzle so you don't eating anyone

After one of his missions that he didn't bring you on, he fell on his bed to rest until you interrupted him and had you hand in the shape of half a heart. He knew what you wanted him to do but just glared at you for a few minutes before closing his eyes again