Burn marks post fraxel? (Photo)

This is a burn likely from excessive heating in the area.  My suggestion is to use bioshield with aquaphor for 7-10 days.  Keep the area moist and sunprotected, it will heal fine.  The nose heals very well without scarring or pigment change the majority of the time.  I suggest seeing your physician if you are worried.  Best, Dr. Emer.

Fraxel lasers and chemical peels can cause unwanted discloration and pigmentation if not performed conservatively. 
After melasma laser or chemical peels; the following protocol is advised:
Elevase Moisture Booster: Twice daily application of Elevase Moisture Booster to help hydrate chapped, sensitized, and dry skin after treatment. Apply liberally on the treated area and reapply if you are experiencing persistent dryness.Melarase AM + Melarase PM: Once the skin has healed over and the peeled, apply Melarase AM in the morning and Melarase PM in the evening to help reduce abnormal pigmentation or PIH. Melarase creams can help maintain a smooth complexion and should be used for at least several months (Note: one bottle contains one month supply).Best, 
Dr. Karamanoukian
Realself100 Surgeon

I would definitely contact my doctor and see what they feel you should do. It is common to be red after fraxel, but you should not be burnt