  We construct strongly anisotropic quantum droplets with embedded vorticity in
the 3D space, with mutually perpendicular vortex axis and polarization of
atomic magnetic moments. Stability of these anisotropic vortex quantum droplets
(AVQDs) is verified by means of systematic simulations. Their stability area is
identified in the parametric plane of the total atom number and scattering
length of the contact interactions. We also construct vortex-antivortex-vortex
bound states and find their stability region in the parameter space. The
application of a torque perpendicular to the vorticity axis gives rise to
robust intrinsic oscillations or rotation of the AVQDs. The effect of
three-body losses on the AVQD stability is considered too. The results show
that the AVQDs can retain the topological structure (vorticity) for a
sufficiently long time if the scattering length exceeds a critical value.
