She says we should “hang out”

Probably a dumb question but I just met this beautiful woman on a dating app and we’d been chatting for the past day getting to know each other.

A few hours ago I decided to ask her to dinner next week and even recommended we go to this nice Italian restaurant downtown. She responded by saying we definitely will hang out, but didn’t say anything about the resturant and I’m not 100% sure if I’m picking up what’s being put down.

Does it sound like she wants us to skip straight to sex first? Or could it be that she wants to start with maybe coffee/an actual hangout before moving to dinner?

I could see how dinner might be an intimidating thought after just meeting someone.