Should I tell my OB

I have an obgyn appointment in the morning to get on new birth control (I stopped taking the previous one 2 months ago because it made me uncomfortably sick).

This was the closest date I could get and in that time my boyfriend and I haven’t been using any type of protection and he hasn’t been pulling out. We are 100% fine if I get pregnant and will be happy. But we aren’t actively trying, as in counting days and everything. I’m not even sure if we want to start the birth control but it took me so long to get the appointment I feel like I should go.

Should I tell my OB about this? Im afraid of her judgment( she’s always been very sweet so far) but I’m on the younger side of things it feels like (22).