Rhinophyma: big, red nose associated with rosacea.

Rosacea: skin condition involving facial erythema and telangiectasia.

In normal language, this means flushing of the face and enlarged blood vessels that become visible.

References

1. Healthline. (2018). Rhinophyma: Causes, Risk Factors, and Symptoms. [online] Available at: https://www.healthline.com/health/rhinophyma [Accessed 3 Jan. 2018].