Strange mark on skin

A while ago I noticed a strange hair on my face. It was not where facial hair usually grows and it was isolated. It was harder than I would expect for regular facial hair. I pulled the hair itself out with tweezers but I am now left with a small red mark/cut where the hair used to be, which feels slightly coarse when I touch it. If I leave it, the hair grows back, and if I remove it, the mark/cut returns. Though almost certainly not dangerous, I was wondering if there was any way of dealing with this from a cosmetic point of view. Thank you.