It depends on how you phrase it, Zeo,
Let's get one thing straight: all women like to be complimented...to a point. Sure you can say that someone's labia are beautiful. Some women may have a complex about their genitalia, labia included, (sad but true) and if they hear compliments about this body part from a man, it may boost their self-confidence. Just make sure you also compliment her personality as well, just so she doesn't feel reduced to an object.
But here comes the big caveat: if your attention becomes "body worshipful," and the provider is not of the "kinky" (read BDSM) sort, with experience in having been "worshiped," she could get very annoyed. Relentless focus and fawning over certain body parts can get a provider to feel suffocated and almost imprisoned, particularly since we all know (from BDSM, natch) that the worshiper is the one who's in control...and the provider may not wish to give up that psychological aspect of the encounter.
I'd say, if the desire to compliment more than one body part per session gets overwhelming, and you see that she doesn't react super enthusiastically, just try to contain yourself. If this provider is as hot as you say she is, chances are she's heard it many times over. The problem is that women can't get enough of hearing praise from someone with whom they are madly in love, or at least reciprocally attracted to. But when hobbyists get all enraptured, it can get very overwhelming, mostly because the provider doesn't have the same feelings she can return. Also, it may contribute to feelings of excess objectification on the part of the provider. And, if that happens, you may see an interesting bit of withdrawal on her part. She may deny you DATY, for example, as she may unconsciously wish to "punish" you for all this focus on her labia. It's a psychoanalytic explanation, granted, but it's very valid. That's what drives many providers to start rationing their regulars, or not being available all of a sudden. Too much attention from a hobbyist and poof...she's just not there...
Tread carefully and do not engulf,
the Love Goddess