* μαγείρας (mageiras): This is the most common and generally accepted word for a cook, especially a professional chef. It's feminine. The masculine form is μαγείρος (mageiros).
* ψήστης (psítis): This refers more specifically to someone who cooks meat, often by roasting or grilling. It's masculine. The feminine form is ψήστρια (psístra).
* μαγειρεύς (mageireus): This is an older or more literary word for a cook.
So, while μαγείρας/μαγείρος (mageiras/mageiros) is the most versatile and widely understood term, the best choice will depend on the nuance you want to convey.