Is there room to include a line about Hinata saving Kei? Hazou has a reputation for being dangerously protective, and Hinata knowing that Hazou is grateful for her aid in saving Kei would do a lot more to reassure Hinata than Uplift statements about "making friends instead of enemies.'
Which, while true, probably isn't enough to reassure her. But if presented with a more obvious reason for Hazou being friendly (Ino's vouching, Hinata sticking her neck out for Kei to save Kei from Orochimaru's scalpel), then Hinata will be able to act with more comfort/ease than she otherwise would.