  A stationary axially symmetric solution describing a rotating anisotropic
source for Einstein Field Equations(EFE) is proposed which matches to the
exterior Kerr metric. The anisotropic source satisfies all energy conditions -
weak, strong, and dominant energy condition - for a wide range of metric's free
parameters values. The resultant energy-momentum tensor components, and
consequently energy density and pressure profiles, redshift function and
angular velocity are singularity free and behave as expected. As rotation
parameter goes to zero a spherical source consisting of normal and exotic
matter is retrieved for the exterior Schwarzschild solution; the corresponding
redshift function, however, is well-behaved and positive definite. This is the
first solution of its kind.
