If what I have is EM, should cold therapy always take away the redness?

I've used an ice pack wrapped in a towel, or just a cool cloth, and while it helps the pain somewhat, the redness does not go away. Does that mean what I have is not EM?

No, you could still have EM. I have EM and at my worst the redness rarely went away, despite relief from cold compresses.

Thank you, I am almost sure that what I have is EM, but cold doesn't take away my redness.

Just like you, ice packs ease the burning but have no effect on the bright redness.

Ice packs have no effect on pain or redness, for me.