Would I be able to get slightly retruded teeth with braces? (photo)

I had braces but it didn't fix my overbite because they didn't do any extractions, I'm going to get them back on soon with extractions, I really want my front teeth to go slightly inwards, Debbie Harry's teeth are the best example. I'm kind of embarrassed to ask my orthodontist if it's possible because after searching online I see that most people don't want retruded teeth and want them fixed. But I don't like the protruding teeth I have and I don't like when teeth go straight down.

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