I read the poem referenced in the comment. I don't think it applies. I see that as the black person speaking to a non-black person, saying "When I was ..., [you saw me as black]" and "When you were ..., [you describe yourself as] ".
In this case, you are asking about the appearance of one POC when in emotional or physical distress to another POC.
I am not a POC. I am of European descent, and at 68 I am a splotchy reddish color with bluish veins. I have noticed that my color doesn't change much with emotions. I have never been pale with fright, not have I been red with rage, nor blue with sorrow, or green with jealousy. I don't know why, but those "colors" don't reflect my personal experience.
I have, and do, experience other physiological responses to emotion.
I can quake when afraid, or uncertain, or in awe.
I can feel my throat dry in anticipation.
I feel my eyes grow in my head when angry.
Your POC character probably (again, I am NOT a POC) feels similar things. Depending on the culture of your story, they may have much greater experience than I do with negative expectations and unfair treatment, and your character will have their personal response to whatever experience your narrative brings.
And, although people of my racial extraction may be blind to skin color changes in Persons of Color, it may be (and I can't say either way) that skin color changes are visible to other POCs. My bet, should I need to make one, would be that the same state-of-being cues that I see in another non-POCs would be matched by state-of-being cues that one POC would see in another. The human brain and visual system are acutely tuned to reading the emotional and physiological state of people we encounter. Unfortunately, in my life, I have little routine engagement with POCs, and my brain and visual system haven't been trained for optimum interpretation.
Were I writing this, I would probably stay away from color references that I didn't have good backup for from a POC directly, and stay with physiological characteristics that -- I presume, perhaps incorrectly -- are independent of skin color.