Really scared to start baby aspirin 😞

I have health anxiety so I just need some reassurance. My OBGYN wants me on low dose aspirin because I’m severely overweight. I’m 12 weeks pregnant and she wants me to start it now but I’m so scared! I keep hearing people say they heard taking aspirin during pregnancy can hurt the baby, and even the bottle I have says don’t take after 20 weeks because it can hurt the baby!! I didn’t take it with my first child because my anxiety got the best of me, but I really want to help prevent preeclampsia this time. Please help 😭