Covid vaccine-when to take it?

Currently I'm in my 6th week, and I have not took my vaccine yet. Consult my gynae and she said, it's ok to take anytime during the pregnancy. But she mentioned some mommies prefer to wait til 2nd trimester. And I've heard stories of stillborn babies when mommy contacted COVID-19. I'm so worried and confused at the same time. Mommies out there, those vaccinated and not, do give me your thoughts. Thanks...