You have two indications to treat your Basal cell carcinoma with Mohs micrographic surgery. One is the location. The nose is an area in which basal cell carcinoma is more apt to recur after standard therapies, such as scraping and burning (curettage and electrodesiccation), freezing with liquid nitrogen (cryotherapy), laser treatment of photosensitized skin (photodynamic therapy) or burning it with laser (laser ablation), excisional surgery which requires a 4 millimeter margin to get a 96 percent chance of cure may remove too much or too little while Mohs surgery starts with a 1 millimeter margin and continues to trace out the extent of the tumor based on microscopic evidence of its location and has greater than a 99 percent chance of cure with primary (not recurrent) basal cell carcinomas while providing the greatest tissue conservation (not removing unnecessary good skin). You are too young to consider radiation therapy as the treatment might cause a worse squamous cell carcinoma twenty years later. Mohs surgery does not mean no scar. It means tissue conservation with the greatest cure rate and at your young age you deserve what Mohs offers. Reconstruction can create a very aesthetically-pleasing scar most of the time and there are treatments, including laser resurfacing, laser for redness, massage exercise and special dressings that can help the scar improve in appearance over time. If you had laser treatment to avoid a scar, you would get a shiny patch, maybe even indented, permanently from the laser and if the skin cancer is not fully treated it would be growing underneath for possibly several years and when it would clinically recur, it would be much larger than now, leaving you with a possible bad cosmetic result. Basal cell carcinoma does not metastasize, or spread, to other body parts via the lymphatic vessels or blood circulation, but it can invade the local neighborhood by direct extension and create problems internally over a decade of persistent growth despite having multiple non-invasive and non-curable treatments.
Mohs surgery is your best option. You are very young and this was caused by sun exposure you had when you were younger. You must wear a good sunscreen, ultraviolet A and B protection, and avoid sunburns because today's sun exposure weakens your skin's immune system's ability to fight off the DNA damage (from years ago of sun damage) that is trying to grow a cancer today. You may have less than a one percent chance of having this skin cancer recur on your nose if you elect to have Mohs micrographic surgery, but there is a 33% to 50% chance of having a new primary skin cancer on sun exposed skin in the next five years. See a dermatologist every six months, at least, to have your sun exposed skin examined, and the non sunexposed skin should be checked every year. In between appointments with your doctor, you should examine yourself every month with two mirrors to see your back and the posterior view of your legs and if there are new spots they should be checked prior to your next appointment. Furthermore if you have a new spot that bleeds, or looks irregular have that checked. New skin cancers may look red, white, brown, flat or raised.
At your young age practice Safe Sun. Be outside early or late, not midday if you can avoid it. Wear a hat, long sleeves, sunscreen (but remember to take your vitamin D3 [at least 1000 IU per day] as you won't make the vitamin D in your skin from sun exposure any longer).