I am sorry to hear that you are dealing with a bump on your nose that was present before, went away, then has returned. I can imagine how this has you worried and you want to figure out what it is. I hope that I can give you some information that will be helpful, and ultimately steer you in the right direction to help get you an answer. First of all, since I can't examine you or take a history, I am going to recommend that you make an appointment to be seen by another physician. An ENT (Ear Nose Throat) physician, or a dermatologist
would be a good place to start. They should be equipped to examine you, help figure out what the problem is, then discuss treatment options with you. I suspect that when you are talking about your 'nose wing' you are referring to the ala of your nose. This is the lateral soft part of your nostril. Your nose is covered by sebaceous skin (meaning that it has sweat glands). It is definitely possibly that one of these sweat glands is repeatedly becoming clogged and backing up to cause a swelling. It is also possible that you are developing a dermal cyst, or epidermal inclusion cyst, and when you squeezed it really hard the first time it was present, it burst and has taken some time to come back. Of course since the skin of the nose is exposed to a lot of sunlight, it is possible that there is something more sinister going on (such as a skin cancer), which is all the more reason to get checked out by a physician. I hope this helps, and I wish you all the best.