What is peripheral-vasodilation?

Answer 1

Peripheral vasodilation is the dilation of the veins and arteries of the periphery. This will lower blood pressure and provide less resistance for the heart to beat against.

It also makes the capillaries of your face come to the surface and show you to be flushed.

Answer 2

"blushing"

Part of the skin's circulation is under control of the sympathetic nervous system,

primarily to control heat loss but also for emotional signalling.