My doctor used a hyfrecator on a blood vessel at the end of my nose. 2 weeks later the area is pink/purple. Will it go away?

20 years old, fair skin. Went to a Dermatologist, I had a small spot on the end of my nose that somewhat bothered me. The doctor said it was a blood vessel showing from underneath the skin. She used a hyfrecator on that region. It scabbed over, i did not pick at it, kept it moist(neosporin), 2 weeks later the scab came off. It has been almost another 2 weeks since then and the area hyfrecated still is a pinkish/purple and lower than surrounding skin. Will it return to normal pigmentation?