We consider the equilibrium structure of the complex formed by an ionized starlike polymer micelle with oppositely charged polyion. The charges on both the micelle and polyion are quenched, and the complex is immersed in a salt-free aqueous solution. Analytical and numerical self-consistent-field (SCF) models are employed to describe the properties of such a complex. Our findings indicate that the micelle-polyion complex is essentially electroneutral as a whole and that the polyion replaces almost all small counterions within the micelle corona. The structure of the complex is governed by the effective second and third virial coefficients of monomer-monomer interactions and is much more compact than original ionized micelle. Furthermore, the structure of the complex is predicted to be insensitive to the molecular weight of the polyion. The effective virial coefficients can be mediated by variations in the solvent quality, the degree of ionization, and the incompatibility of the branches of the micelle and polyion. We derive the diagram of the states of the complex and delineate the range of its thermodynamic stability. The results of numerical SCF calculations are in reasonable agreement with the analytical predictions. It is also found that the detailed distribution of the polyion charge has only a minor effect on the overall structure of the complex.