There are a few things to consider with rhinoplasty, and you may want to look at bits of your nose individually to understand what it is you want done.
-Nasal depth. From a profile view, women tend to have much shorter nostrils than men. That is to say, the nostrils are closer to the tip.
-Nasal width. The width of a woman's nostrils (from a front view) is usually much thinner, especially as compared to the width of the bridge. Something important to remember with this is the width of the mouth, however; the width of the mouth is generally 1.6 times the width of the nose with a few millimeters of variation.
-Bridge depth. Women tend to have much more shallow nose depth. The depth for the bridge of the nose is dependent on the forehead, so a type 3 reconstruction typically allows much better results for a rhinoplasty than having the rhinoplasty done alone or with fillers/burring.
-Bridge curvature. Women more often have a bit of curvature or slope to the nose, whereas men typically have a very strong, very straight bridge. This feature is not as near-universal as some other gender dichotomies, such as brow/upper orbital rim prominence or chin length/shape (square vs. round), but it is something to consider.
-Nasal tip. This is sort of related to genetics. Some people have thinner cartilage, leading to a sharper tip, whereas others have very thick cartilage, leading to a thinner, less bulbous tip. If you have a bit of a bulbous tip, it is usually smaller in women than men, by contrast. If you have a very pointed tip, there is much less variation.
-Nasal angle. The base of the nose is slightly more upturned in women than men, leading to more nostril display. Men tend to have very perpendicular noses, the philtrum (area between upper lip and base of nose) being the other half of this angle.
When it comes to speaking with surgeons, it is very important to gauge their reactions and language much more than what they actually say. Does the surgeon seem very adamant about what limitations there are with the nose, or does s/he seem somewhat open-ended about what can be achieved? The former reaction usually indicates a surgeon who is unwilling to be aggressive, even if asked, whereas the latter indicates more willingness to be aggressive and attempt to fulfill the patient's needs. If the surgeon is all too eager to agree to your needs, however, they may be a bit brash or simply trying to get your money; make sure you look into their result history (especially third party testimonials) and be aware of how caring and nurturing they are.
If you're interested in more information about FFS, I would be happy to lend my opinion on your facial features through this thread or PM, if you like. It's a bit of a hobby of mine to both continuously learn and share about FFS, though do keep in mind that I am not a surgeon or an expert. I hope this helps, good luck!