Will my tip still look droopy if I only get the hump removed ? (photos)

Excellent question.  This is a nose that very well may need a bit of extra tip projection to make sure the tip up tends beyond the reduced bridge slightly.  This is the problem with "simple" closed hump reduction.  There is a point where the bridge cannot be reduced anymore and the tip must be augmented to achieve a straight profile.   If the surgeon performing the procedure is not skilled in performng closed tip augmentation, he would either have to convert to open or otherwise compromise the result.   See the link below for an example.  

When you lower the bump on the bridge of the nose, it almost always makes the nose look longer. "Longer" meaning that the tip looks lower and droopier! A closed rhino on you to only remove the hump sounds like a disaster to me.See the "Web reference" link, just below my response. I made a computer morph, and an animation of the morph, to show the changes that are possible for your nose in truly expert hands. I took down the hump, but also elevated the tip. Then, I moved the entire nose a little bit closer to your face, to further decrease its prominence.I also made a simulation showing what your nose would look like if only the hump were removed. Check it out. Not good.You should understand that the changes I demonstrated in the morph require advanced techniques, techniques that most plastic surgeons cannot handle. Be sure to read the section in the "Web reference" link on how to stay out of trouble while searching for a rhinoplasty surgeon.

Your tip is not a droopy one, under no point can be named as such, yours is a poorly defined tip, with unsuitable location of the maximum projection and suboptimal shape. This is well and best treated with tip grafting, Sheen's technique of shield graft, a difficult and creative gesture which few surgeons master or are keen on performing, but in expert hands leads to awesome results.If tip grafting is not carried out in your nose you will not have a bad result (as long as the hump is properly treated and the osteotomies well done), but the tip would remain the same, with the same poor definition.If you are ambitious in your goals you'd rather seek the opinion and treatment of a surgeon trained and used to apply tip grafting as a routine in his surgeries; the look of a well applied tip graft is simply amazing.Let me note not all the noses have indication of tip grafting, in my practice about 1/3 of the cases have absolute, relative or elective indication of tip grafting. In other cases the tip is treated with plasties (like Ortiz-Monasterio's domes plasty), plications with sutures, struts, shortenings, etc.Tip grafting can theoretically be done with closed approach by means of a marginal counter incision at the rim of the nostrils, but I strongly adice open approach which allows perfect location, tailoring, and fixation with sutures, thus minimizing the risk of artificalness, dislocation or wrong sizing.Do research about backgrounds, experience and reputation in tip grafting.