He seemed like he wanted to do it raw but he barely knows me and I feel like that’s very careless of him. I’m not sure if I should continue to see him because I’m worried about std’s

It was only our 5th date, we hadn't had sex yet and he asked if he should pull out a condom while we in the middle of doing stuff. I wasn't sure if I was ready to go that far yet so I said "I don't know" and then he asked me if I wanted to do it raw. I said no because I don't want to risk getting pregnant and he agreed, but what I don't get is: How are you willing to do it without protection with someone you barely know?? Especially without asking their sexual health or history either? And where I am too, it's not easy getting an abortion, so there's also that. I don't get how some guys are like this