Too cautious! Lots of providers are sucking wind with getting steady business. I wouldn't call what she's doing great marketing, just a little desperate perhaps.

You did what I would do which is not seeing this lady if there was no verification. Do not look back and ask your self if you did the right thing. It is all about the safety. And the safety of the lady I am with as well as mine is my number one priority.

Since she has a handful of reviews and is from out of town I wouldn't suspect her to be LE or working with LE.  At least I don't believe they would use an out of town lady in a sting operation.  Obviously she isn't being very secure in sending out that information in an email, but I wouldn't get overly paranoid about it.  If she knows your TER ID, perhaps she felt comfortable sending you the info knowing you are a safe and established hobbyist and in an effort to further entice you to book with her.

You did the right thing.  If no attempt is made on behalf of the provider to screen, just move on.  I have learned a lot from my fellow hobbyists on this site and found the ones who consistently have great experiences follow this rule.