See Above Section.
Three Tails Arc
After Konoha gained information of Orochimaru's whereabouts, Kakashi led Team Kurenai on a mission to track him down. Hinata, Kakashi and the others were attacked by several enemies, including Guren, a shinobi with the unique ability to create crystal. Hinata was hit by one of Gurens attacks and was encased in a huge crystal. Guren warned the team that when the crystal broke, Hinata would be shattered as well. When the crystal was broken however, Hinata revealed that she had covered her body with a cloak of chakra just before the crystal enveloped her. Kakashi complemented her plan and told her that a plan like that was exactly what he would expect from a Hyuga.
Among the Fans
Even as a crack pairing, this ship is somewhat popular in the fandom. It is often rivaled by NaruHina, KibaHina, and KakaRin, as well as many other Hinata and Kakashi ships. It's most likely shipped due to how well these two look together.