Chickens have something similar to exposure erythema.
Basically when exposed to uv radiation/sunlight it causes the skin to redden and inflame. Its not comfortable when people have this but it is a normal part of being a chicken.
Chickens don't really sunburn like we do either, instead their skin gets more red and even thickens in response to the exposure.
Chickens can still get skin cancer and it's usually in sun exposed places like around the head on the comb and wattles.
Chickens also can blush just like we do! Some other species can as well like parrots.
I was reading an interesting paper on chicken facial redness earlier and it said
"Hens exhibited the highest degree of facial skin redness in negative situations of high arousal, a high redness in positive situations of high arousal, and the lowest in positive situations of low arousal"
So we can assume the reason Beeper is blushing here is because she has had more sun exposure recently and she is in a low arousal positive situation (cuddling me on my bed)
Here is another example using my old breeding roo Nugget. I had just pulled him out of his pen (positive situation of high arousal) so he was excited but he slowly chilled out and showed me by no longer blushing (positive situation of low arousal).
(Now if a chicken is always very pale even in high arousal situations and with sunlight exposure that is a sign of underlying illness such as a heart condition, illness, or parasites.)
id painting of a quokka holding vhs tapes of horror movies while a skull is on fire on the tube TV screen, there's a capybara looking at the screen, a possum desperately scared and a hen with several chicks scattered around