Nausea without vomiting is also one of the pregnancy symptoms don't worry. You can eat meat and fish if you feel like, However avoid high mercury fishes like Bangada shark and other big fishes. I was avoiding chicken for 3 month later on added chicken to my diet but had desi chicken.

But I have no vomiting

Hai. Nausea and even vomiting is common during pregnancy. Don't worry. It's due to harmonal changes. Of are are regularly using fish, chicken, or any other form of meat is fine. Have less spicy food during night.