We considered some properties of defect modes in chiral photonic crystals with an anisotropic defect layer at oblique light incidence. The problem was solved by Ambartsumian's layer addition method. We investigated some peculiarities of the discussed system's reflection spectra and also the polarization plane rotation spectra and polarization ellipticity spectra of the oblique light incidence for both the minimum and essential influence of the dielectric borders. Our investigations show that there is a possibility of rather a wide change of the emission wavelength in the subject system by changing the incidence angle, or by changing the doped dye concentration, or by changing the pumping wave intensity. We also investigated absorption (emission) peculiarities at different dye molecule concentration and at different chiral photonic crystal thicknesses.