I'm pretty much trying to figure out, whether an inclined orbital plane rotates with its parent or not.
To make my problem understandable an equivalent question would be, whether the longitude of ascending node of a moon's orbital plane changes over the course of a year, when the reference plane is the ecliptic plane and the reference direction is a "fixed" star, far away in the ecliptic plane.
The question assumes, that the moon is rotating around a planet, which in turn rotates around a star. By ecliptic plane I mean the plane given by the orbit of the planet around the star and by year I mean one sidereal period of the planet. There are no other celestial bodies involved.
I'm taking this picture as a reference for the orbital parameters: