I suffered from nausea on Atkins a lot, too. That's one of the things that made it too unpleasant and unworkable for me

If you want to stick with it, my only suggestion is to avoid very greasy, buttery foods and stick with "clean-tasting" ones. For instance, instead of having fried eggs, have poached eggs or eggs scrambled with some veggies in a pan with a tiny bit of olive oil. Instead of having very fatty meats, have leaner ones.

Good luck!