Why Do I Always Feel a Heavy Pressure at my Nose Bridge?

A pressure sensation on the nose or inside the nose is unlikely to be related to any cosmetic deformity (such as a bump on the bridge of the nose). Problems with allergies, sinusitis, or other issues would be much more likely to be causing nasal pressure symptoms. In some cases, a CT scan might be needed to rule out other problems inside the nose.
Be sure to see a rhinoplasty expert or ENT surgeon as a starting point to find out the cause of the problem and possible treatment options.
Best,

  A nasal bump  is composed of both bone and cartilage and does not usually cause any pain. Pain and pressure in the nose is usually cause from sinus related issues, and a CAT scan of the paranasal sinuses may be in order if this is been chronic in nature.

            I would not expect the reduction of the hump to affect this sensation, but you may consider the rhinoplasty for hump reduction from the cosmetic point of view.  Find a plastic surgeon with ELITE credentials who performs hundreds of rhinoplasties and rhinoplasty revisions each year.  Then look at the plastic surgeon's website before and after photo galleries to get a sense of who can deliver the results.

Kenneth Hughes, MD Los Angeles, CA