Procedure to Subtly Refine Nose Tip?

It is a reasonable option and can be achieved by scoring the catilages and then stitching them together. There are several other techniques that address the problem, such as removing a sliver of the cartilage, morselizing (crushing) the cartilage.
The techniques can vary for each surgeon as we all have our own preferences. Its the result at the end that matters more than the technique used. Remember there many ways to skin a cat.
Regards

Hi Betty Lou,
Subtle changes to the tip of your nose ("change the offending party please) can achieve the goals that you desire. You may need additional subtle changes depending upon the structure of the remainder of your nose.
Choose your subtle rhinoplasty surgeon carefully and make sure that she/he understands your wishes and can carry out the steps to attain the result your want.
Good luck and be well.
Dr. P