  A new Skyrme functional devised to account well for standard nuclear
properties as well as for spin and spin-isospin properties is presented. The
main novelty of this work relies on the introduction of tensor terms guided by
\textit{ab initio} relativistic Brueckner-Hartree-Fock calculations of
neutron-proton drops. The inclusion of tensor term does not decrease the
accuracy in describing bulk properties of nuclei, experimental data of some
selected spherical nuclei such as binding energies, charge radii, and
spin-orbit splittings can be well fitted. The new functional is applied to the
investigation of various collective excitations such as the Giant Monopole
Resonance (GMR), the Isovector Giant Dipole Resonance (IVGDR), the Gamow-Teller
Resonance (GTR), and the Spin-Dipole Resonance (SDR). The overall description
with the new functional is satisfactory and the tensor terms are shown to be
important particularly for the improvement of the Spin-Dipole Resonance
results. Predictions for the neutron skin thickness based on the non-energy
weighted sum rule of the Spin-Dipole Resonance are also given.
