For my bump I had to use steroid cream, mine was infected like yours, so first I got the infection out. If you can get a steroid cream that is acceptable for this issue, you can most likely get it to go down completely in two weeks. I was able to anyway.
If you do decide to do so, put the cream on the bump once in the morning and once at night
Just know it can thin your skin if you overdo it, so once it's gone don't put it on it anymore.
But i'm just telling you, for me it helped a HUGE bump on my nose go away completely!
I have a nose piercing and had the bump myself.