How long will it take for braces to slightly divert two roots to make room for an implant? (Photo)

I have been through a terribly long process to get a tooth implant on a lateral incisor for the past two years. I have worn a flipper for 4 years, since getting my braces off. (my teeth are straight) However, the implant failed, & my periodontist would like more room to work. no member on my dental team can seem to have an estimation on how long I may need these braces on to make the correction? I'm stressing out as I go to college next fall... Would love any opinions! Thanks!