Fanonical

Here canon and fanon freely mesh: on the one hand, we have canonical elements such as "green, slanted eyes" and "thin body," and on the other, we have fanonical elements built on canonical ones, such as "fine-boned, cat-like," "beautiful, fey, little ... child."

Source: wiktionary

Because I disagreed with the decision to eliminate imagined relationships from the site, I created a page titled "Pairings (fanon)" on March 27, 2009, to restore the "cruft" (excessive, detailed material) that had been edited out, albeit within its own fanonical space as dictated by Lostpedia policy.

Source: wiktionary

Thus while the Ron/Hermione ship is canonical, because Rowling included a relationship between the characters in her books, the Minerva/Hermione ship is fanonical, because a romantic or sexualized relationship between those characters exists only in the minds of fans.

Source: wiktionary