Will I be refused a rhinoplasty? Told surgeon that I have difficulty breathing, possibly deviated septum.

The hesitancy of your surgeon may be due to the complexity of your condition. Your candidacy for rhinoplasty cannot be assessed with one up close nasal photo. Consider consulting with a reputable rhinoplasty specialist who may be comfortable addressing your concerns. Thank you. Dr Joseph

In a way he’s right. It does present an entirely different situation from normal. But it sounds like the surgeon simply isn’t interested in this type of case. So I recommend getting some other opinions in person.

Most nose issues are due to problems with the underlying cartilage. The surgeon you contacted must not be comfortable with rhinoplasty. Likely they are good at other procedures (perhaps breast surgery, for example).
Any facial plastic surgeon will have no problem adjusting your nose so it looks and functions better.

Thank you for your questions and for sharing your photographs.
It is possible that you contacted a plastic surgeon with expertise in performing rhinoplasty. You may require a Septorhinoplasty (Combination of Septoplasty to improve nasal airway and Rhinoplasty to improve aesthetic appearance of your nose). I would suggest that you consult with a nose specialist (Rhinologist), ENT surgeon with expertise in performing rhinoplasty.
Best wishes,

Thank you for the question and I would definitely see other experts in the area and compare recommendations after a full examination and discussion of desired results

Dr Corbin