Prompted from recent progress in discrete integrable systems, we shall describe a new form of Picard theorem that is related to the important Askey-Wilson operator, in particular in q-orthogonal polynomials and q-special functions. The Jacobi Elliptic functions are amongst the q-special functions. Although a very general q-Nevanlinna theory will be discussed, the lecture does not require much prerequisite apart from the first complex analysis course.