This is Dr. David
you could have caused some frost bite damage to your skin by leaving the ice pack on your skin for too long if the skin there has turned black
you should see a doctor about it and see if you may have caused some frost bite freezing damage to your skin.
that is good you can sense touch around the area
that means the nerves are still intact
do you have a doctor you can see about this?
that could be an area of frost bite.
it doesn't look too bad
it could continue to heal on its own
the skin could peel
if it does, you may need some special antibiotic ointment like silver sulfasalazine cream or antibiotic ointment to prevent skin infection.
you should still see a doctor about it
next time you use an ice pack, you should wrap it in a towel so it doesn't freeze burn your skin
let me know if you have other questions.
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I don't think you have sustained any permanent damage.
you still have nerve sensation there
so you didn't damage your nerves
your skin will most likely peel and heal after that.
and new skin will grow into the area.
you don't have gangrene.