Red man is an Alpha male who does not yet know his Anima. He might be able to get her if she has an embedding on Red or Amber and she realizes that it is hard to find a better match. In that case it will only be a short sexual relation that will teach her what not to do. It will not be a balanced relation as the man is emotionally and mentally way behind her.
She will most likely chose not to go into a relation to save both him and her some trouble. Also he is an alpha male who does not go into deep relationships. If the woman is pure Teal she will never go into a relationship with a Red man.