I agree with Blue.
In my experience, women will not date men they truly do not "like" or see as possibly potential mates, maybe somewhere down the road.
I feel dating is very hard on men. I feel women don't always realize how much men have to put themselves out there just to ask for a date. I feel most men continue in a very vulnerable position while continuing the dating, as well.
I have been observing adult friends dating later in life and it's a mess. Lol. It's very hard on the guys, who continue to try very hard to impress and get shot down a lot. Yet, if they didn't try so hard, they'd also be shot down.
In most cases, women call the shots.
Stopsign, I understand your initial reaction. Totally.
I just think there may have been a little misinterpretation and I think our friends here have possibly cleared it up.
In all honesty, I do not think she would take the time if she wasn't somehow interested. Nor would you.

No second date if not at all interested.
I think she is keeping all options open.
I see this as a good thing. Has potential.
It may be, in time, you decide she is not the one for you, Stopsign.
By this, I mean, there is no guarantee you will be the one with a broken heart should things not work out in the longer run.
It all takes time, lots of time. It's worth the time.
Relax, breathe, have fun!
P.S. I had no intentions of any serious relationship with my DH. We had a lot of fun together. We ended up falling for one another. We have been married and have been best friends for over 20 years now.