Should I get surgical overbite correction?

I have a slight overbite, I wore braces two times since I was 13 (I'm 22 now and had my braces removed two years ago, I don't wear my retainer anymore) but it didn't really work out for me, my teeth are not crooked anymore but it didn't fix my overbite. My orthodontist said I should have four of my teeth removed for better results but I didn't want to do that, is operation an option for me? I hate my smile and undefined jaw.