The phrase "upturned nose" refers to a nose that is curved slightly upward, giving the appearance of the tip of the nose pointing upwards rather than downwards. Full definition
Unfortunately, the changes match the owners obsessions with small upturned noses, over blown cheekbones, and other new deformations that do not match the classic beauties. (dogingtonpost.com)
Their slightly upturned noses make it harder for them to breathe in extremely hot weather or after strenuous exercise, so they need to be kept cool for the most part. (dogcare.dailypuppy.com)
Hognose snakes, with those little upturned noses, are as cute as kittens. (petbusiness.com)