The symbolic significance of his desires is communicated in the similies of his three wishes; snow, blood and a raven. His desire is a mixture of coldness, bloodthirstiness and fatality -> the raven, as in edgar poe's writings, is a symbol of death.
Carter wrote in 1974 "i'd always been fond of...gothic tales, cruel tales, tales of wonder, tales of terror, fabulous narratives"... etc etc
Carter suggests that the count, yet another aristocrat is a cold blooded killer in his desire for a girl 'as red as blood'.
He has fathered the girl of his dreams -> this may be a comment on how patriarchy shapes women in the image of men's desires and, as can be seen, not much good comes of this.
The countess hates her through her jealousy and threat