Is My Phylactery Showing?

I'm coming perilously close to the last chapter of my thesis, and I have been reading an article that questions the two-source hypothesis of development of the synoptic gospels (also referred to as the Q or Quelle hypothesis). This hypothesis proposes that Mark was the first of the three synoptic gospels and that both Matthew and Luke used it as a primary source, along with another lost source known as Q (from the German word quelle, which means source).

I've always been ambivalent of the hypothesis as it dismisses the traditional place given to Matthew as the first of the gospels, and it posits (in my mind) its own unsatisfactory solution.