A week is too short. Be very strict and do the diet for at least 6 months. If it's not eliminated it will be dramatically reduced. Of course it also depends if your Body Odor is caused by yeast overgrowth. Do you have jock itch/ dandruff and the occasionally itchy anus.
You don't have to stay on the diet forever, it's only until the yeast dies off or under control.
Try taking probiotics after a good cleansing diet. I started taking it after about 3 months. You will soon start to realise your tolerance for sensitive food gets better by the week.