in depth analysis on why you like Terezi and why she is so important to the story

She drew her own god damn chalk outline before plopping dead right on it, if that doesn’t immediately make you love her I don’t know what to tell you.

As for her role in the story, she’s always a source of queries about the Universe of Homestuck and Metaphysical Questions- The trick with telling Dave both outcomes of the coin, asking what the difference was between complete free will where at any moment you’d be able to turn into a completely different person and complete determination where you have to follow a single path, instigating the Retcon Adventure to bring Vriska Back, her introspection about the nature of her Self and feeling incomplete without knowing about her GO! Counterpart, Terezi CONSISTENTLY raises really, really great points about just about everything in Homestuck.