In a medium saucepan, combine the cranberries, maple syrup, orange zest, orange juice, and nutmeg. Heat over medium-high until boiling. Lower the heat to medium-low and simmer for 6–10 minutes, stirring occasionally, until the cranberries burst and the mixture thickens into a jam-like consistency. Remove from heat and allow to cool.
In a food processor, blend the feta cheese, Greek yogurt, chili flakes, and olive oil on high speed until the mixture becomes smooth and creamy. Alternatively, an immersion blender can be used for this step.
To assemble, spread the whipped feta in a shallow serving dish. Layer the cooled cranberry compote over the feta. Sprinkle with chopped pistachios, drizzle with honey, and garnish with fresh thyme if desired.