but your name, it is indeed low risk.  She just wants to know that when she looks through the peephole, the guy at the door is the same guy that set up the appointment.  Some Vegas providers do this and its no big deal if you can black out all of the other information except your name.  In Vegas, they also want to see that you have an out-of-state DL, so they know you are NOT local LE.  You didn't say what state it is, but if its Vegas, it's not out of the ordinary.  

With that said, if it's some kind of scam on her part from the beginning, then it becomes unsafe, so I would only recommend doing this with a girl that has several reviews.  If she's a legit provider, there should be no problem, and you will both be comfortable when you meet.  Just my opinion based on my own experience.  The paranoid may disagree.  Lol

There have been lots of discussions on this subject, and it seems to be much more common recently.  Some guys do not care one way or the other, some are in the "never ever" camp.  
It all depends on your risk tolerance and which provider you are giving it to.  Even with providers that have excellent reputations there is always a risk of your info becoming public, although that risk may be very small.   It can happen inadvertently or deliberately.
There are some guys on the NY Board who don't care bc they have nothing to lose and are "bulletproof".
So, ask yourself if you would be ok with someone potentially "outing" you or even trying to extort you.  These things can, and have happened bc someone was careless or was malicious.

It's practically zero risk for law enforcement.  Somebody having your picture is evidence of nothing.  It is, however, possible blackmail material.  If she's been around a while, probably not much risk.  If she is new, that would require more caution.
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In some ways, having your picture in her records is less risky than having your name on a list, as far as public exposure should her papers be confiscated by LE and the press publishes them.  Much more likely to publish a list of client names than their pictures.

Thanks for the quick responses. The provider I have in mind has a professional website and has been around for a while. No longer reviewed on TER but I have found reviews/comments by searching other sites. That plus her detailed site seem as legit as can be to me. I don't like to mess around with providers that don't have a professional web presence. I feel much safer with someone for whom discretion is also a primary concern and who has a business reputation to maintain. Thanks!

The reason being that once my likeness is in the hands of another, I have no further control over where it goes or how it might be used (or misused).

It depends on the individual's taste for risk and how comfortable they might be with the unknowns.

Balance your desire to meet with her against what bad things might flow from your likeness being released into the custody of a stranger.

Buena suerte!