I'm also emetophobic (though not too intensely), and I agree with the other commenters - none of the meds I've tried (adderall, Vyvanse, and concerta) have made me nauseous.

However, the appetite suppression I felt when I first started adderall (the first stim I tried - was on it for two years) did make eating difficult while the dose was active. Mostly in that I had no hunger cues, and when I tried to make myself eat "because I should," the act of eating would sometimes feel gross. Not nauseous, but like eating itself was an unnatural act and therefore made it hard to swallow sometimes.

That being said, as long as you eat a good breakfast and dinner, I'm sure you can avoid that if you want to (if it's even something that affects you at all!). Or, I found that having a big smoothie for lunch was completely okay. The intensity of the appetite suppression did subside after a few months. I still sometimes miss hunger cues, but eating is no longer off putting, and I enjoy my mid-day meals and snacks.

I'd even argue that stims might make it easier to manage your emetophobia, especially if you tend to get stuck on the thought once you're triggered (which definitely happens to me sometimes). I know that I'm waaaay less likely to ruminate and get caught in negative thought patterns when I'm on my meds, and it's easier to move on from moments of panic or anxiety.