I am worried about the bump at the tip of my nose. Please help.

Hi doctor,

About 7 to 8 weeks ago, I woke up and noticed a tiny, pin-sized bump at the tip of the nose. Initially, I thought that it might be some sort of underskin or stuck blackhead. When I squeezed it, nothing came out. I poked the top layer of skin gently, and a bit of blood squeezed out. So, I figured that it must be a little pool of blood. When it did not go away for a week and started to raise a bit, filling with fluid, I went in to see my esthetician, who cauterized it. It turned pink, went back to the original tiny purplish-black underskin dot and then started filling with fluid again. I went back to her, she applied a chemical peel, and it went away. Again it gave rise to a little blackish-purple under skin dot filled with fluid. It now looks a bit like a blister. It is tiny, but tender to touch,.I do not want to pop it because doing so has not helped. I made an appointment with a dermatologist, and I want him to be able to see this without prodding or poking. But, of course, I am incredibly worried and wondering if there is anything I can do.