with the lady.  If the lady asks for your real name, best to give it to her or move on.  The last thing you want is to get caught in a lie.

I find it odd that you're spending so much time on preliminaries here.  I don't see a problem with telling her your first name.  But I'm a bit alarmed by your desire to "build on the relationship before we meet".  What kind of relationship are you thinking about?  

I'm worried about your maturity level & I suspect you may fall into a honeytrap with her or someone else.  She's not your girlfriend.  She bangs guys for money.  That doesn't mean you can't enjoy your time together.  But it seems you have something more serious on your mind...with a young woman you haven't  met yet, a provider who sees a lot of men, including love-struck newbies.   Beware.  --z

Unless I missed something you said she asked what to call you not what's your full name. It's no big deal. Give her your first name. That's what she can call you. If she then asks for more so she can screen, give it to her if you want to see her. Ladies need to screen it's safe for everyone that way.

They can check me out on the web, whatever.  Puts them at ease.  I try to be careful about who I see, and trust the ones I do.  I have never experienced bad consequences.

So... do what makes you comfortable.  But if you stick with pros and treat them courteously and professionally, I don't think you have anything to worry about.

she may need your name to verify you, since you probably don't have any provider references.  One way providers check you out is to call your place of work, ask for you with some made up reason.  This lets her know you really work there and are not a cop.  If you initiated contact, you already know her 'stage' name.  In any case, stick with your comfort level.  If you don't feel like giving your name, then it's time to move on, IMHO.

If she has good reviews on another site, try contacting some of her reviewers for additional information.  It's good that you are taking your time, but checking her out by reading reviews and getting opinions from other guys is more productive than establishing a 'rapport' with her I feel.  You don't need a rapport to go and pay her for her services.  Either you will 'click' with her when you get there, or you won't.

Don't overthink this.  As has been mentioned, she is in the pay for play business, which is illegal, so she is going to be discrete if she wants to be a successful provider.  Otherwise, she won't last long, as the word will get around that she is not a provider one should see.

Swim

I always give my real full name if she asks. What can she do with it? Rat me out to my co-workers or my boss? They would just high-five me for banging her!  

If your workplace isn't quite as male-dominated as mine, you can always say she's an ex-girlfriend that you dumped, just trying to get back at you. Hell hath no fury. That is always a believable story. It's not something I worry about it too much, but I do like to have a highly believable story lined up, just in case the HR folks ask.