Is it permissible to remove excess hair with a laser by a female doctor in the armpit and sensitive areas, especially if it is abundant and causes skin disfigurement?

There is no harm in removing armpit hair with a laser, provided there is no damage involved. As for removing pubic hair with a laser by a female doctor, it is conditional upon a pressing need, such as if the hair is thick and cannot be removed by other means, or if the woman cannot remove it herself with a laser under the guidance of the doctor, to avoid the doctor seeing the 'awrah. It is permissible to expose the 'awrah when there is a need or necessity, such as for medical treatment, with the condition of a strong necessity if it concerns the grave 'awrah (covenant of men and women) or the 'awrah of women, due to the fear of temptation therein.