I feel like I’m screwing things up, am I?

I (23F) have been dating my boyfriend (25M) for about two months and it’s been great so far! But when it comes to sex, I want to wait until I’m at least engaged to someone, because I’ve been hurt in the past when bringing people close into my life. He has been really vocal about our future and how he wants to get married, and when I tell him id be okay waiting until an engagement, he is down. But it almost feels like I’m trapping him into marrying me, which is NOT what I want to do, I just feel comfortable waiting until I’m in a very very serious relationship.

On top of that, he has voiced his opinion on living together after we got engaged, but my family and culture has a somewhat strict “living together only after marriage policy” but if we were getting married short after getting engaged, it’d be okay. And I tell him about the short time window for marriage and idk, it almost feels like I am trapping him into marriage, but this just was I was raised to believe and how I feel a relationship should go down; you get married and then live together, or at least have a short time window between marriage and engagement.

I really do see a future with him and I just don’t wanna mess things up. With all these...demands, it feels like? Am I messing things up?