Hi, I am in second trimester and i just got my two pfizer doses. The reasons why some doctors do not recommend it or would leave the choice to you without giving advice is because pregnant women were not involved in clinical trials which is considered the gold standard for clinical decisions. This is always the case with any medicine hence drugs only available years laters to pregnant women. And that’s why doctors now don’t want to give advice as actually they cant really give advice because the cant guarantee the outcome.
I have personally decided to take pfizer vaccine because even though there is no clinical trial data, in may, the time Ilooked up research already 100k pregnant women have been vaccinated without any safety concern. These women are monitorod as part of real world data research so you would actually know if there are any major concerns - similar to blod clots with Az, real world data showed there is an increased risk. Secondly, pfizer is an mRNA drug which is a targeted drug (as opposed to eg AZ) which means it only impacts the part of your body where it needs to do, and doesnt not interfere with other parts like genes, hence it is considered safe to pregnant women because the drug is not transferred to your baby. And lastly as others said, if you actually get covid especially in trimester 3, it could have serious side affects both on you and your baby.
So what doctors do when they make a decision is that they weight the risks and benefits and decide accordingly, i personally think there is much higher benefit then actual risk.
Of course this is just my view, your body your decision so just do what makes you comfortable