How to soothe winter flushing

My face turns red after being exposed to the cold wind outside when the weather is cold, like in winter.

It's not just temporary; the flush doesn't go away even after I come indoors. It's not a pretty flush, but an unsightly one, so I really want to get rid of it.

Since my skin is on the fairer side, flushing really stands out.

Are there any cosmetics that instantly soothe redness?

I don't usually wear much makeup, so I'd like recommendations for skincare products!