We study the fine structure of the phonon G peak in the inelastic light scattering spectra of strained graphene in the presence of a quantizing magnetic field. We show that under the conditions of magnetophonon resonance (MPR), the spectral line shape in Raman spectra of the Gamma-point longitudinal optic-transverse optical phonon undergoes multiple splitting and acquires a strong dependence on the polarization of the incoming and detected light. Interference of strain and MPR leads to the modification of the anticrossing branches, introducing the variation of the light polarization preferences depending on the proximity to the resonance, and their better resolution between neighboring anticrossings.