Answer: B is the correct option. Yes, this is a mutation in her DNA of her somatic cells.
When the woman develops cancer due to prolonged UV radiation, the cancer cells spread and eventually all the somatic cells which are non-reproductive egg or sperm cell also carry the DNA of the cancer cells. So the future children will have these mutations in their cells. Mutation in the BRAF gene is the main cause of several types of melanomas. The other gene that is commonly mutated is p53 which is a tumour suppressor gene in normal conditions and on mutation it causes cancer causing the tumours.