The Special One is a minor character in Don't Hug Me I'm Scared 3 and has also made a small appearance in the teaser "Wakey Wakey".
In Don't Hug Me I'm Scared 3, Shrignold tells The Yellow Guy that he should save his love for his "Special One". Yellow Guy dreams of a female version of himself, also a puppet with a resemblance of a human. There is not very much information on this character, as she is only known to have one line in the entire series.
"And our love will never go!"