  In the topological superconductor with the nematic superconductivity in $E_u$
representation, it is possible to have different types of vortices. One is
associated with the vorticity in the particle-hole space and corresponds to the
Abrikosov vortex. Another type corresponds to the vorticity in the spin space
and is called spin vortex. We study the interaction of the Abrikosov vortex
with the spin vortices. We derive the free energy of the sample with the
Abrikosov and the strain-induced spin vortices using the Ginzburg-Landau
approach for the two-component superconducting order parameter. We calculate
the critical strain at which the spin vortex is formed. We show that the spin
vortex and the Abrikosov vortex attract to each other and, as a result, they
have a common core. We show that there are no zero-energy states (Majorana
fermions) localized near the common vortex core of the Abrikosov vortex and the
spin vortex of any type. Possible experimental realization is discussed.
