Is this what my skin should look like after a mole/skin tag removal? (photo)

My primary doctor removed a very small, mole/skin tag on my right side so I figured it would heal quickly. She froze it with a spray for about 15-20 secs, I felt her maybe pull/cut it off then poured something on it that stops the bleeding. (Really hurt!) I expected in a few days to feel no pain and also I had no idea it would get so black. I've kept a bandaid on with neosporin since. Everyone is telling me it looks like she messed up and that it shouldn't look like this. Are they right?

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