Ethnic rhinoplasty is a common procedure in my practice. As previously stated, tip definition is generally performed with suturing techniques in combination with cartilage grafts. Cartilage can be harvested from either the nasal septum, the ear, or rib, depending on previous surgery and how much cartilage is needed. Nostrils can be reduced with very inconspicuous incisions. The dorsum can be easily augmented with a choice of several materials. Your first order of business, however, is to remove the extruding nasal implant. The longer you leave it like this, the more damage that it may cause. Have it removed right away.
Thank you for the photos but the first order of your concern should be the extruding implant not your tip. after the issues regarding the implant are resolved there are many techniques that can be used to refine and narrow a tip without the use of a foreign body.
There are many techniques available to refine your nasal tip. I like to use a combination of suturing and grafting with cartilage. It is hard to ignore your nasal implant that is extruding. It needs to come out soon. It may be damaging the skin of the tip as well.