Would cutting the septi depressor muscle result in a less droopy tip and a more attractive nose? (Photo)

You are a very attractive young lady. Please be careful.Tthe best thing you can do is have computer morphing with an experienced nasal surgeon. Cutting the muscle is a perfectly acceptable step in nose refinement. It is unusual to do it as an isolated procedure.You do not appear to have a smiling tip in the photos you submitted. It doesnt mean that you dont have one, just that it was not captured here in a lateral view. It may be the case in the frontal view- it depends on your head position.The lower third of your face/chin is small in comparison to the rest of your face in these views.Refinement of the tip and conservative lowering of your dorsum would likely leave you very happy.Good luck

Simply releasing  the depressor septi ligament will not have any affect on the shape of the nose. It will simply limit your ability to pull the nose down when smiling. This can be performed as a stand-alone procedure under local anesthesia, or as a component of a rhinoplasty performed under general anesthesia.