My girl's nose is rarely wet or cold. Just moist and room temp.
It's ok. Dog's noses are wet because they lick their noses. I read it on a book called ''The Dog Why Are Dog's Noses Wet?''
My Bostons have dry noses for the most part, as does my Boxer. It may have something to do with the shorter snouts being closer to their faces and therefore running warmer in temperature?