Is it a good idea to get rhinoplasty if you have allergic rhinitis?

Your allergic response sounds very aggressive and I would suggest perhaps discussing this with an allergist to see if allergy shots would be indicated in your particular situation.  Rhinoplasty is not contraindicated in the face of allergic rhinitis.  In fact, some of the functional issues you have probably experienced such as increased nasal congestion, can also be addressed at the time of your rhinoplasty surgery.  Having nasal surgery is definitely uncomfortable but the pain is generally well tolerated and the mechanisms by which you experience pain from your allergic reactions are different from the way you experience pain from surgery. 

Patients who have allergic rhinitis are still candidates for rhinoplasty. During the initial post-op period, your nose is stuffy anyway so you won't even notice the allergic issues. I would suggest picking a time when your allergies are not as active. The discomfort is not that bad following surgery and recovery fairly fast.

In the short-term due to inflammation there may be aggravation of airway problems. After this swelling subsides there should be no long-term effect on any airway problems.