Why don't you just discontinue the oil. The formulation could be less than optimal. Also youre body could be reacting to the ingredients in the oil.
I am sensitive to many chemicals. I might be able to use a product for one day but if I continue to use it my skin will develop a reaction. As a result I only use the mildest soaps and lotions. I can only tell if a product is good for me by trial and error.