Final answer:
Without histone proteins, a cell's DNA could not be effectively packed into the nucleus, which would interfere with chromatin formation and the regulation of gene expression.
Step-by-step explanation:
If a cell were unable to produce histone proteins, one likely effect would be that the cell's DNA couldn't be packed into its nucleus (Option C). Histones play a critical role in DNA packaging by forming the core around which DNA wraps to create nucleosomes. These nucleosomes further fold to form chromatin, which is essential for efficiently organizing the large amounts of DNA within the limited space of the nucleus. Without histones, this tight packaging is not possible, complicating numerous cellular processes including mitotic and meiotic chromosome condensation and gene expression regulation.