Hello,
From the symptoms it can be an infected cyst or a fibrous papule of the nose. It occurs in adults and is characterized by a dome-shaped, sessile, skin-colored, white, or reddish papule 3 to 6mm in diameter on or near the nose.
It cannot be removed on its own and you need to get it examined from a dermatologist to confirm the diagnosis. It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your dermatologist. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
It could either be a papule or acne rosacea, both mild skin conditions. Your dermatologist should be able to provide diagnosis and a topical ointment. Good luck!!