Answer: No, the daughter will be a carrier only.
Step-by-step explanation: Hemophilia is a sex-linked recessive disorder. The recessive gene is carried on the X chromossome. Males have only one X chromossome, while females have 2. So, for a male individual to have hemophilia, it only needs the recessive gene to be on the X chromossome. In a female, the disorder is expressed when both X chromossomes has the recessive gene.
In the Parent Chromossomes picture shown, the father's X chromossome doesn't have the gene for hemophilia and the mother is heterozygous for the trait, i.e., she carries the recessive gene.
A daughter will inherit an X chromossome from the father and an X chromossome from the mother.
In this family, the daughter will inherit the X with dominant gene H for the father and has a possibility of inheriting another dominant gene H or recessive gene h from the mother.
For the daughter to be hemophiliac, she has to inherit 2 recessive genes. Since in either case she won't, she only inherits 1 recessive gene, the daughter will be a carrier for the trait, not have the disease.