  In this paper we study repulsion of a N\'eel-type skyrmion in a chiral
ferromagnetic film from a superconducting Pearl vortex due to the stray fields.
Taking into account an effect of the vortex magnetic field on the skyrmion
non-perturbatively, we find that the repulsion between them is suppressed with
increase of the dimensionless strength of the vortex magnetic field. This
manifests itself in complicated evolution of the free energy with increase of
the vortex magnetic field and reduction of the equilibrium distance between the
centers of N\'eel-type skyrmion and Pearl vortex.
