Possible piercing infection??

Its possible that the site of the piercing is infected. Local skin infections include redness, swelling, pain and sometimes there's drainage. The photo you included with your question is blurry so I couldn't tell what your nose looks like. Your swelling and sensitivity could also be attributed to trauma to the skin from the piercing. It goes away once it starts to heal. I'd keep the site clean with soap and water. Hydrogen peroxide is good for cleaning away any dried blood around the piercing. If the pain and swelling continues for the next couple of days and the redness doesn't go away, you may have to remove the piercing and let the site heal. Does it mean you can not have a piercing where its infected? No....a cleaner technique must be used next time. I hope this helps. Feel free to email me if you have any other questions.