Final answer:
The condition describing someone with an XY chromosomal make-up and a partial or complete insensitivity to androgens is Androgen Insensitivity Syndrome (AIS). The correct option is B.
Step-by-step explanation:
The individual with a chromosomal make-up of XY who has cells with a partial or complete inability to respond to androgens is described by an intersex condition known as Androgen Insensitivity Syndrome (AIS). Individuals with AIS have an X and Y chromosome but are typically raised as females due to a mutation in the Androgen Receptor (AR) gene located on the X chromosome.
This condition results in the development of predominantly female or ambiguous genitalia despite the presence of XY chromosomes since the cells cannot effectively use androgens like testosterone.