Wow.. I'm very sorry that happened to you
Most TRUE rescues have the best of intentions and would never lie like that. Perhaps they adopted out the dog you had originally wanted, and were like oh crap, what do we do? And just did a bait and switch with you. That's so messed up.
I also find it very weird you had to drive to them. Usually the rescue group will send the dog(s) out on a transport to the general area of the potential adopter and do it that way.
I feel so bad for you
But it's better that you said no to a dog you really had no connection with instead of just bringing her home and then really regretting it, and then what? Trying to return her?
I hope you continue to try to find a rescue dog to fit into your life
That rescue group was clearly mismanaged.