Wanna bend the rules a little and play a character who has the ultimate in conflicted relationships? Choose one icon that suits your character’s story best. Spend your three icon relationship points like so: take one relationship point that’s positive, one that’s conflicted, and one that’s negative. Yes, all with the same icon.
What interwoven stories will explain your situation? Let’s use the Archmage as an example. Perhaps you are devoted to the Archmage as a Spark within the almost extinct but now resurgent Order of the Blue Flame. That’s your positive relationship point.
But the Blue Flame has a rival order (possibly responsible for their fall?) in the service of the Archmage that opposes everything they stand for, politically and metaphysically, so your negative relationship point is connected to opposing a secretive faction of Archmage-devoted definite-enemies. You’re probably not lethal rivals, but you’d rather see everything about them fail, and vice versa.
The conflicted point might be most all the other factions in the Archmage’s service, who probably appreciate your faction’s fervent return to power but are concerned about in-fighting. Some times they help you, other times you’re figuring out how to keep them from helping your rival.
I’m sure the High Druid, Priestess, and Prince of Shadows are ripe for this type of treatment. And we haven’t even mentioned the most obvious icon for three-part disharmony: The Three! In the simplest interpretation, you could be on great terms with one of the Three, mixed up in both positive and negative relations with followers of another, and directly opposed to the third, perhaps for personal reasons or perhaps for reasons connected to your most-positive aspect of the icon.