Hi, I am Dr. Atul Kumar Nimawat MS ENT
From the images, it appears that your nose piercing site has developed local redness, mild swelling, and some pus discharge, which suggests a localized infection at the piercing site. This is fairly common in the early weeks after piercing, especially when a metallic nose pin is kept in place continuously. Since you wish to retain the hole, the aim is to control infection without removing the ornament, unless symptoms worsen.
Next Steps
Continue with T-Bact application twice daily after gentle saline cleaning, avoid unnecessary handling, and monitor for worsening symptoms.