Is there an imbalance with my side profile & will rhinoplasty correct it? (Photos)

Yes your nose is a bit over-projected. Ie sticks out too much from your face. That said you’ve got a really aesthetically pleasing nose. Everyone is a bit different and my advice is definitely do not have a rhinoplasty as your nose is already really good

Nasal projection:The shape of your nasal profile is quite nice but it is slightly long and over projecting. The projection refers to how far it sticks out forward from the face. The nose is seen in contrast to the chin which in your case is somewhat weak and under projecting, and the fore head which is also slightly under projecting. There’s not much you can do about your forehead but a rhinoplasty reducing the length and projection of the nose and deepening the radix combined with either a chin implant or fillers to the chin would balance the profile. The radix is the upper portion of the nose where it begins just below the forehead. Deepening the radix will give a more delicate and feminine look to your face and improve the relationship between the forehead and nose.

In fact, the natural shape of your nose is quite beautiful. yes, your nose looks big because your forehead is slightly back. Think of it like a small hill on a flat terrain looks as big as a mountain. forehead fat injection can be tried, but it is not a definitive solution.