My character's mentor happens to be a dragon blood who was formerly a member of the Immaculate Order. He was kicked out (and nearly executed) as a heretic.
He ended up living as a fop in Nexus, with his bad habits partially funded by my character. The Wyld hunt might go after him if he ever made his presence known outside the Scavenger Lands, but as of right now his most important goals are partying and partying and they don't really care to find him. He is looking for a way to get back at the Immaculates for banishing him from the Realm (and also for trying to kill him), and so the fact that my character is exalting as a Solar will be a great thrill for him. If he does try to use my character to go after the Immaculates, there is a good chance that he will end up as one of their targets, if only because of geographical proximity.
As a 2 dot mentor, he will not be too concerned with my character. He will, however, sell my character some of his old jade artifacts (that I still buy with experience, bonus points, or whatever) and give him access to a hidden manse he controls a little ways outside of the city (again, I will pay for the merit, but this gives an explanation for how I might have it legitimately). In the future (i.e. with more mentor dots) he might be able to teach my character a few basic Terrestrial Circle Sorcery spells or instruct him in the Serpent Style (the style he learned when he was still a monk).
I plan to start with Jade Hearthstone Bracers, a Jade Serpent-Sting Staff, and some 2-4 dot Hearthstone that I'm still thinking about.