No sex before marriage?

So about a couple weeks back, me and a close friends of years were at a party together and things kinda lit it off. We went on a couple dates here and there and last night I officially asked her to be my girlfriend. She said yes and we went for a walk around a park and started to talk about what we usually want to see from a relationship and she told me that she won’t have sex until marriage. It was kinda out of no where cause she never brought it up until now. I needed a night to sleep on it but I’m still not sure how I feel. I really like her but I don’t know how I feel about it. In no way am I going to pressure her into doing anything but I don’t know if I’ll be able to do that. All she wants to do it make out and that’s it. It’s nice but I’m looking for something more and because she didn’t tell me until after I asked her to be my girlfriend, I now feel like I’m trapped. I don’t want to be an asshole and end things abruptly but I’m at a loss for how to go about this. What can I do?

Edit: I appreciate all the advice from everyone. A lot of you said that I’m not trapped and i understand that. I know I’m not it’s just how I feel. Also I’m 28 and she’s 29 if that clears anything up?

Edit 2: After reading all the comments I realized that it was the right thing to do to break things off and not lead her on in any way. I really appreciate everyone’s harsh advice. I definitely needed someone to tell me the truth about what I was feeling. Thanks again!