You can get protein from plenty of other sources. Nuts, legumes, and dairy products have plenty of protein in them. I was the same way for my entire first trimester and half of my second. I ate fish/seafood a few times a week (low mercury of course) and now I am actually able to eat more meat, although I still don't eat chicken much. Protein is found all over the place so don't worry about becoming deficient. Just do your best to eat what you can and make sure your Dr is aware in case it becomes a bigger issue later on.
you need to talk to your doctor or a nutritionist and find out how to get enough protein without meat. that's usually a deficiency found in people who don't eat meat and haven't done their research to know how to compensate for the lack of nutrients normally received from meat.