"cellular immunity" is a correct term and can be used in written English.
For example, "The patient had a strong cellular immunity, which meant that they had a better chance of fighting off the infection."
Introduction: Sepsis is associated with immune suppression, including depressed cellular immunity.
Interaction of T. pallidum with the host's immune system stimulates humoral and cellular immunity.
19 The immune system encompasses innate, humoral, and cellular immunity.
Slaoui suggested using cellular immunity.
But cellular immunity is effective, often for years.
Protection from influenza is tightly associated with cellular immunity.
All of these factors lead to the inhibition of cellular immunity and resistance to disease32.
Many scientists are more enthusiastic about recent advances involving vaccines that focus on stimulating cellular immunity, rather than just antibodies.
We found no associations between biological sex and either humoral or cellular immunity to measles vaccine, and no correlation between humoral and cellular immunity in these study subjects.
Suppression of Drosophila cellular immunity by directed expression of the ExoS toxin GAP domain of Pseudomonas aeruginosa.
Gurunathan, S., Prussin, C., Sacks, D.L. & Seder, R.A. Vaccine requirements for sustained cellular immunity to an intracellular parasitic infection.
