Do I have a Roman nose?

The element that looks "Roman"-y to me is that the upper part of your nose, just in front of your eyes, is strong in its forward projection. The part just *above* the "bump" that sits in the middle part of your bridge. More on that later...
Your nose is strong in its forward projection from your face. The tip can be brought back closer to your face. We call that "de-projecting" the tip. 
The bump can be lowered. Then, when a nose is de-projected, and when a bump is removed, the nose tends to *look* longer, as if the tip had drooped. So it's important to elevate the tip. 
It looks like your tip cartilages might be making the tip look wide, too, but it's hard to really see from this one angle.
Now, when the nose is strong at the top, in front of the eyes, if the tip and bridge are de-projected (brought closer to the face), it's important to reduce the strength of the bridge up there at the top, or your profile would resemble the profile of a Roman statue, where the profile of the forehead slides right down onto the nose, without that little dip we like to see in front of the eyes. Search for Roman statue profile to see what I mean. Your surgeon must pay attention to that, too.
I'd love for you to see some excellent professionally-designed morphs of what could possibly be done with your nose. Morphs could also help you identify what's bothering you, and help you set a goal for the rhinoplasty that's accurate for your tastes. Frontal and three-quarter views would be particularly important in morphing your nose. (Side note: in my opinion, morphs should always be done by the surgeon, or he should direct an assistant as she makes the morphs. Morphs should be made with a constant eye to what actually *can* be done in surgery, for that particular nose, and only the surgeon has that information and judgment. Another aside: I also recommend that you not show morphs made by one surgeon to a different surgeon. If a surgeon makes his *own* morphs, you get to see whether he understands the important issues of your nose, and how your nose should be changed. But if you show the surgeon someone else's morphs, and he says "Of course I can make your nose look like that," then you don't really know if he fully understands, or even recognizes, the important changes shown in those morphs. And you don't know if he can make those changes during surgery.)
Finally, remember that rhinoplasty is an exquisitely difficult operation to get right, and you should only have surgery if you are able to make yourself very confident in your surgeon's skills. The changes that your nose needs require advanced techniques, and skill that most plastic surgeons don't possess with expertise. For most noses, it's much better to not have surgery than to have inexpertly-performed surgery. Read my essay on how to stay out of trouble while selecting a rhinoplasty surgeon. And it also discusses how to take photos that are best for online evaluations.
Your nose is also a perfect example of why computer imaging is mandatory in rhinoplasty. You need to know exactly what the surgeon is planning to accomplish -- what features he thinks he can change, and by how much he thinks he can change them. I always email morphs to my online rhinoplasty consultations. When you see the surgeon's goals in the morphs, you'll know whether he has an eye for an attractive nose, and whether he shares your opinion of what constitutes an attractive nose. You'll also know whether the changes he proposes are large enough to be meaningful to you, and whether he understands your wishes enough to address all of your priorities. How would you ever get that figured out without the morphs?Oh, and by the way, commenting on a previous post of yours, you have a perfect, strong, gorgeous chin. Don't do anything to the chin!

A Roman nose is usually refer to as a nasal profile with a dorsal hump and a high septal angle with a ptotic (droopy) nasal tip. Therefore, you do not have a Roman nose. You  appear to have  slight dorsal hump. If you are interested in improving your nasal appearance, please consult with an expert in rhinoplasty such as a facial plastic surgeon.