Final answer:
The possible genotype of a female child from the union of a woman who is X^HX for hemophilia and a man who has normal blood clotting characteristics is B. X^HX^H.
Step-by-step explanation:
This is because the woman is a carrier for the hemophilia gene on her X chromosome, and the man does not have the hemophilia gene on his Y chromosome. As a result, the female child will inherit one X chromosome from her mother, which may carry the hemophilia gene, and one X chromosome from her father, which does not carry the hemophilia gene.
Hemophilia is an X-linked recessive disorder, meaning that the gene mutation responsible for the condition is located on the X chromosome. In females, who have two X chromosomes, both the normal and mutated forms of the gene can be present. Therefore the correct answer is B. X^HX^H.