Congratulations on the pregnancy!!! And lots of sympathies because pg with emetophobia is tough but you'll be amazed with how much you can cope with. I've also been severely emetophobic since childhood, however 2 pregnancies (first one sadly ended in miscarriage), csection and taking care of a baby actually improved my phobia to the point I feel "in remission" and able to lead an almost entirely normal life. My pregnancy was a blessing in disguise for the phobia because I was forced to confront so many situations that would have made me panic.
Long story short, I was never sick but I did have morning sickness in both pregnancies. MS is actually weird because it doesn't feel like standard stomach bug/food poisoning nausea, but more like extreme hunger. So to an emetophobe it was actually quite confusing because I find hunger comforting. I always wondered how people could possibly "eat to avoid morning sickness" but that actually works. MS starts like extreme hunger and then tips over into nausea if you wait too long. I found the trick was to eat easily digestible foods (crackers, crisps, pudding, rice cakes) as soon as I felt hunger pangs to keep my stomach slightly full.
I also had lots of bloating which sometimes triggered panic, but I found that fennel tea helped a lot with that. Some other things that might help are sea bands, vitamin B6, Phenargan, Rennies, metaclopramide and listening to meditation videos on YouTube. I kept repeating to myself that no matter what happens (even I were to be sick), I can't wait to enjoy my pregnancy once I feel better. Try building up a bond to your baby and let that help you through the toughest moments.
If you feel like you absolutely can't cope with the thought of the next few weeks, then look into doing Rob Kelly's Thrive Program with a Skype consultant ASAP. I did this two years ago and it made a huge difference to my way of thinking. You can find lots of consultants on the website and write to them saying it's an emergency. These are similar to therapists, but the program is more about teaching you a new way to process your negative thoughts and not "traditional" therapy in talking about feelings, the past, your childhood etc.
Lastly, I used to get very anxious reading about the weeks that people's MS started or ended so please don't get sucked into that. There's a good chance you might not get MS at all, and of course you don't read about that online because those people have no reason to post about it. MS is over-represented here because people post for support and those without it are just going about their lives. My MS disappeared virtually overnight sometime in week 8, which is early by most standards. I was able to work from week 9 and attended an overnight wedding during week 10.
Further down the line, I had zero heartburn or sickness in the third trimester and was also not sick or queasy in the least during my csection.
Wishing you lots of strength and peaceful thoughts for the new year!