Yes. That sounds fine. Maybe just drop the stuff about the other guy though? I don't think you need it. This is enough on its own.
"I enjoyed getting to know you and enjoy chatting with you and had a real nice time when we met. I would like to take you on a date and get to know you some more"
You could also just phone her up and say that? That might be a more personal touch. Obviously the other guy didn't work out, but she's said she'd still be interested in seeing you. Take it nice and easy. This is just the early days. This is not the time to start interrogating her about how she feels about you. That's much too heavy at this point. Just go out, have a nice time, enjoy some conversation, see if you have interests in common or she's got a nice sense of humour or whatever, then take it from there and see if you want to have a second date after that. Softly softly.
"The only thing to do with good advice is to pass it on. It is never any use to oneself." - Oscar Wilde