It could be a deflection, so that she’s putting it out that there that the purpose of the dinner is only to get to know each other.
It could be that she’s thinking about getting to know you better
I think if I were an expert on local girls I would have had a real girlfriend, but also that there are context clues we are missing because we can’t see her face or otherwise the totality of your interactions with her
Whatever it is, it is risky. How interested are you really, and are you willing to walk away from the job if it comes to that?
The fact that this didn’t set off any alarm bells and that you’re discussing this situation with strangers on the internet tells me that you’re not ready for a relationship and should just stick to working on your career for the time being.
It’s impossible for anyone in an anonymous online forum online to give you any definitive insight and answer, unless they were actually there and understand the entire situation and people involved. There’s not enough context.
Of course you don’t date your manager. It could work out, but the risks are too great. The problem now is it’s a bit awkward pulling out of the dinner date you’ve offered her.
If I were in your situation, and I wouldn’t be, I’d be hoping that she cancels. If she doesn’t cancel, then I’d still go on the dinner date but keep it professional.
I’m surprised your manager is being so unprofessional when she’s just started a new job.