Can I get Braces without surgery of the canine inside the gum? (photo)

i m 20 years old. my upper right cannin does not errupt and i have a gap between the two upper middle inscisor. i went to dentist if i can put braces and fix my teeth but instead they put some material between the gap.my lower teeths were crooked.how do i fix this ?can i put braces without taking out the cannin inside the gum?

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