The body cannot tell if oils are being ingested orally or topically. It will burn whatever fat it can. When you use make-up, soap or oils that have fat in them, it can prevent you from maximizing your weight loss.
Please just do the very best that you can. Look to your local health food stores to find makeup, lotions and soap. If you need to have manicures or pedicures done due to a special event, try to use oil free products.