Every girl/woman that I've dated for more than a one date told me on the first date that she "doesn't want a relationship". Every single one of them changed her mind after a month or two.

Don't worry about what a woman says, because women do not want what they say they want/they do not do what they say they do.

She says she doesn't fuck on the first date, then she'll tell you "I don't usually do this", and then she'll proceed to fuck you like it's her last night on earth.

She says she wants a funny, vulnerable man who has his shit together. But then she'll hookup with the boring loser who plays games with her but is bold and doesn't give a fuck if she rejects him.

Whether your goal is a relationship, a hookup, or FWB, women will say one thing and do another. So just behave in the way that shows her what you want while letting her come along for the ride.

If she goes on a second date/hangout with you, she's open to a relationship. If she ends up not asking for a relationship, it's because she didn't end up feeing the connection with you; but if she does feel that connection, she's eventually going to ask for a relationship -- then it's up to you to decide.