That's an invitation to a night of sex, ot an agreement for a relationship or a marriage.

If you want a relationship with her, you need to make that plain. She's told you what she wants. It's on you to set some boundaries for yourself. What you're okay with and what you're not. If you're against casual sex, then stand against casual sex AS MUCH or MORE than you judge others foe it. Don't be a hypocrit. That's not sexy.

If you're okay with a night of sex only, leave it at that when the night is over and go about your life. Don't demand to see her again, don't demand further contact. You may make an overture, which she has every right to decline. She may make an overture (for further contact) which you have every right to decline. But stop playing games with people's hearts, minds, and lives. It's manipulative and gross.

Remember that you are responsible for your reproductive potential. If you don't want to be a father or pay chikd support, control your sperm. Stop acting g like you don't know where babies come from. It's childish and reprehensible.

Men have agency. It's never been legally or culturally denied them.

Use it.

It's on Men if they choose to follow a stupid propaganda narrative over being the captain of their own lives.

And if you need a woman to manage your life for you and take responsibility and leadership for your poor choices or failure to make any then those Men need to stop barking about how alpha they are.

You're not. You're a gamma. The one who gets left behind because they can't be trusted with not negatively impacting the pack with their chronic uselessness and/or chicanery.

Evolution is not "might makes right" gentlemen.