I would see no issues with you serving as the cook or chef for this person in itself.
We are taught in the Mishnah, and it is expanded upon in the Talmud, that one may be in the busiess of making and selling idols to pagans. 'Af al pi' (a fortiori, all the more so), I would think, preparing food for others - specifically for a non-Jew, should present no inherent prohibition. .
The obvious issue for you to note would have to do with your own observance of Jewish law (halachah), such as not working on Shabbat, or preparing/heating food.to be used on Shabbat.
You may need to be concerned with Issues around wine (kosher - entirely made/handled by Jews, as opposed to mevushal or boiled wine vs other forms, may be a concern for reasons of Kashrut - dietary laws - in halachah/Jewish law).
If you observe a halachic form of kashrut, then you probably can't consume anything you are preparing, not even to taste it for seasoning. Tasting things as you prepare them is a problem in any case, and if you are preparing completely treif (unfit or forbiddden by kosher standards) items - surely no tasting while you make dishes such as shrimp diavola, ham rolls, chicken cordon bleu, etc.
Even if you yourself are observing a non-halachic form of Kashrut (following a 'kosher style' practice), you would still have some of the problems noted here.
If you can avoid crossing the lines you have established for your own observance, there is no reason you can't take the position.
Hatzlachah (success) in your new endeavor!
Rabbi Joe Blair
Answered by: Rabbi Joseph Blair