Braces and removal. Gap. can you help.

2 twisted incisors, and 1 tooth with a 1mm overlap. I have been going to dentists from the age of 7, have had consulted 13 dentists till date, got all teeth by 14. After i turned 24, 3 different doctors told me to get braces done but 18 months = deal breaker. A dentist said 11 months without extraction, but that seemed long too. Finally a doctor said 8 months with extraction of 4 tooth. 8 months made sense so i went ahead. After 4 months, she said it would take a year. I was upset, but she said she will finish it faster. After a year i wanted the braces off, she wouldnt remove but say it would take 2 more months. It is two years now, the teeth are all fixed but i have a 2 mm gap from the extraction on one side. I am not willing to keep this on any longer, i have cleared the full 35k amount a year back. I have trust issues with the dentist, i would like to get the braces removed, get retainers and some kinda fix for the gap. Can you help.