Step 1: Recall the defining feature of the nude mouse - it is athymic. Step 2: A missing thymus means $T$ cell maturation fails, so the animal has essentially no functional T lymphocytes while its B cell compartment is preserved. Step 3: Transplant rejection of foreign tissue (a xenograft) depends on CD4+ and CD8+ T cells; with these absent, the mouse cannot reject the graft and the xenograft survives, which is exactly why nude mice are used to grow human tumours. Step 4: Therefore the cell type whose absence removes resistance to xenografts is the T cell.\[\boxed{\text{T cell}}\]