The question posed is a false dilemma (also called black-and-white thinking, bifurcation, denying a conjunct, the either–or fallacy, false dichotomy, fallacy of exhaustive hypotheses, the fallacy of false choice, the fallacy of the false alternative, or the fallacy of the excluded middle) is a type of informal fallacy that involves a situation in which only limited alternatives are considered, when in fact there is at least one additional option.
http://en.wikipedia.org/wiki/False_dilemma