For those with light skin and dark hair, a course of several laser treatments can help reduce shadow and coarseness of androgen-induced facial hair. A very tiny number of transsexual women who started in their teens were able to get complete clearance with laser alone. Most TS women will reach a point of diminishing returns with laser where it’s better to switch over to electrolysis to get the rest. The less pigment in your hair, the less effective laser becomes.
As with electrolysis, the major factor in getting effective treatment is operator experience with facial hair like yours. It is absolutely essential to go to someone who knows what they are doing, or you will have ineffective treatments that waste money and put you behind schedule. Conversely, they may overtreat you and leave you with discoloration or skin damage, due to the difficulty of removing such coarse hair while sparing the surrounding skin.
You’ll kind of get a feel for when laser is no longer giving you bang for the buck. That’s when it’s time to switch to electrolysis by someone with a lot of experience. With any luck, the combination will save you time and money, although there are no guarantees.
Choose wisely, and best of luck! 
