- Edited
No, (Adaptive) Cell-Mediated Responses and Adaptive Humoral Responses can develop simultaneously -- they can be activated at the same time.
You got a trick question (or alternatively a bad question) . Because:
Any pathogen able to stimulate an Adaptive Immune Response, can in theory, stimulate both responses. (note the "in theory" bit)
HIV is specifically good at suppressing Adaptive Immune Responses. They do this by targeting cells with the CD4 co-receptor (i.e. Helper T Cells).
Actually, Helper T cells also somewhat assist in Innate Immune Responses once they are activated because they can heighten macrophage aggressiveness etc... so really the Innate Immune System is also affected by HIV, technically, anyways, so I don't think that second bit matters so much for VCE.
If a virus is named the 'Human Immunodeficiency Virus', there is probably a good reason for it .