I, too, had 4 teeth removed prior to having my braces (upper and lower) fitted. Unfortunately, the orthodontist miscalculated and I was left with two highly visible, full-sized, gaps directly behind my upper canine teeth. As I continued to grow, so did my jaw and the room for my teeth to be pressed back into appeared naturally, and he hadn't allowed for this.
He did have the grace to fashion a bridge with false teeth to hide these gaps, but the clips to keep it in place were (I felt) just as noticeable as the gaps !
Do confirm that the extractions ARE necessary as reversing the procedure is not easily acheived :o). Perhaps your orthodontist has warned you that eventually, the extractions may be necessary IF the required space doesn't appear naturally.
However, it is now only when prompted that I remember having to wear the darned things...........and I can still remember the sheer joy when they came off and I was able to display a (nearly) perfect set of gnashers.