Large undereye vein. My local dermatologist wants to use the excel V laser but I wanted a second opinion.

I am a 27 year old female who has very thin undereye skin and veins are starting to be more prominent. Veins look much worse in person than the picture. My local dermatologist wants to use the excel V laser but I wanted a second opinion given that the vein is very close to my eye. My skin is extremely sensitive and I am concerned about being burned or scarred. I am desperate to remove the vein.