According to the sources provided, there is no evidence that essential oils complement Lipitor, a medication used to lower cholesterol levels. In fact, the use of essential oils may interfere with prescription medications, including Lipitor. Essential oils are not regulated by the FDA and can have unpredictable effects on the body. Some essential oils may even be harmful or toxic when used improperly or in high doses. Therefore, it is important to consult with a healthcare professional before using essential oils, especially if you are taking prescription medications like Lipitor. In summary, there is no evidence that essential oils complement Lipitor, and their use may even interfere with the medication. It is important to consult with a healthcare professional before using essential oils.

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] https://www.thriveap.com/blog/can-essential-oils-interfere-prescriptions-youre-writing
[3] https://www.everydayhealth.com/cancer/all-you-need-know-about-essential-oils-for-cancer/