She washes her face with cold water every morning to keep her skin fresh-looking.

fresh-looking 是由形容词 fresh（新鲜的、清新的）加上现在分词 looking（看起来）组成的复合形容词，字面意思是"看起来清新的"。这里用来形容皮肤的状态，表示"看起来清新有活力的"。