Yes please! Contact the female first, compliment her and the time you spend together if you'd like, then ask if she wouldn't mind being a reference for another lady you would like to visit. Being kind gets you far.
Also just the fact that you asked for her permission before providing her name speaks volumes. I've had gents just randomly provide my name before and I can't tell you how mildly irking it is to try and figure out which "John" or "Bob" the lady in question is referring to. If I was memorable enough for you to provide my name to another, the least you could do would be to give me a heads up and send me a line so I can provide an accurate character reference of the person you are based on our times shared, to set the girl at ease.
Finally, if the lady feels jealous because you want to see another person? She's in the wrong biz. That's highly unprofessional and a bit needy. I wouldn't take it to heart considering the fact that I'm pretty sure she has other suitors in her rolodex that she sees including you. The majority of providers who truly understand this business and are successful with it, don't care. We use references to help our business and many, including myself are always happy to help a fellow provider screen a gent prior to the planning of a wonderful date.