Can a Nose Job Reduce 'Gummy' Smile?

In certain cases of overexposed upper gums, yes, rhinoplasty surgery can reduce the show. This usually requires the nasal tip to be set back, releasing what we frequently see as a “tension” nose.

Unfortunately the answer is no.  I think you should be re-evaluated and perhaps have the surgery re-done.  Also, if the esthetics allow, you could have a gingivectomy done to reduce the gum show.

A gummy smile could be due to several factors.  you will need to be evaluated to find out what procedures could be done to improve your smile.  These procedures could be combination of jaw surgery (if maxillary excess), gum surgery (if excess gingiva and bone surrounding teeth).  There is also another technique called lip repositioning .  This will limit the amount of your lip movement during , therefore covers the excess gum. 

you don't need to get a nose job if you don"t need one just to "maybe" correct your gummy smile.

Botox is a temporary measure.  I think other options should be looked into first.  Get a referral to Oral surgeon/ Orthodontist/ and periodontist. This might need a collaborative effort to diagnose and treat, to get you the best results.