Stimulated Raman scattering of a laser pump in a carbon nanotube (CNT) embedded plasma is studied. The CNT response to the laser field is anisotropic and modifies the electrostatic and electromagnetic modes significantly. For Raman backscattering, the growth rate increases due to the presence of CNTs. The enhancement is strong when frequency of the pump or one of the decay waves is near the surface plasmon resonance. Exactly at the resonance, the phase matching condition is not satisfied. For the normalized laser amplitude a0 = 0.01 at 1.06 micron wavelength, the growth time is typically in the sub-picosecond range. The linear damping of the Langmuir wave decreases the growth rate.