  Based on an analytic solution of the Gross-Pitaevskii equation in the
large-condensate (Thomas-Fermi) limit we determine the structure of a
stationary vortex in a Bose-Einstein condensate in a nonaxisymmetric rotating
trap. The condensate velocity field has cylindrical symmetry only near the
vortex core and becomes intrinsically anisotropic near the condensate
boundaries. Rotating the anisotropic trap induces an additional irrotational
velocity field even for a vortex-free condensate.
