In general, men seek a more prominent nose, and women a smaller and more refined version. Some of this has to do with basic anatomy. Women's features and bone structure provide the skeletal context for a petite nose. The prominent chins and more expansive facial dimensions of men make a longer, larger nose feel at home. Male noses tend to feature higher bridges, larger nostrils and thicker skin. Female noses typically have a delicate slope from the bridge and a slightly greater upward angle at the end.
These are characteristics that patients usually want to enhance, rather than reverse. For example, men may want to highlight straight, sleek lines, while female patients routinely prefer to accentuate naturally graceful arcs and inclines, along with a subtle upturn of the tip.
When it comes to the actual surgical procedure, these gender differences are mostly irrelevant. The thicker skin of the male nose slightly affects healing, but surgical techniques are the same for men and women.