Can braces treat my protusion of about 10mm with no (2 teeth) extraction? (Photo)

I'm 33yo woman and i have about 10mm of protusion. I have my braces since a month ago and my dentist said that i need to extract 2 teeth (upper) to get nice smile i want. But my husband really doesn't agree :(. He really against extraction of healthy teeth. Can i get straight smile without extraction in my case?