4 weeks ago I had a bulging blue vein under my eye cauterized. I have this pits in my skin. Is this normal?

4 weeks ago I had a bulging blue vein under my eye cauterized. I am wondering about the pits in my skin where the vein was cauterized. I believe I can still see the vein however much thinner and darker blue in appearance. I am regretting having the procedure done with the fear that I will be scarred and that the vein may still be there. I appreciate any advice about healing for this procedure, which was performed by a doctor who specializes in Oculoplastics and Orbital Surgery.