Iruka and Kakashi are both publicly in a relationship. Kakashi does not care about his clan's lineage, but Iruka does. Iruka wants heirs for the Umino clan and Kakashi wants to be with a woman and a man at the same time. Iruka and Kakashi are looking for a woman to bring into their relationship that they can love and care for, the thing is she needs to suit both their needs and wants, and they need to support her's.