COVID vaccine in 3rd trimester

Good morning mamas!

I’m really nervous and scared because I live in Florida and covid is getting really bad again. My doctor is pressing me to get the covid vaccine but I’m just terrified of something happening to my baby. There isnt a lot of research and I feel like I’m making her a lab rat. It’s not FDA approved and there’s no research in regard to long term effects because it’s so new. What do I do? I’m home all day and have isolated from family for the past month but my husband does work and he could easily be the one to get me sick. I really just don’t know what to do. Anyone have any insight? Has anyone got it and everything be fine? Has anyone gotten it and things turn out bad?