I've made mention of it before but Jae had a crush on Sadu for most of her life (both the prior iteration of Sadu through stories as well as the current individual) but due to a lot of disagreements between the two, it never worked out. They've had instances of causal sex, but never love. Sadu had even propositioned Jae'si as her mate at one point, Jae being hailed as the Kahgan at a brief point in time, but she ultimately backed down. While Jae loves her people, being back in the Steppe for too long brings about a deep sadness for Jae, and Sadu cares for her too much to ask she stay in any permanent fashion with her.