have never had a provider having an issue with it.

I would discreetly clarify just to be safe like high heel says and if she gives you the non condom option, run the other way fast.

i've seen a couple of providers advertise on their web site a list of services that
include (CID) Cum in Deep.

That seems too obvious to mean what I'm assuming it does, but just in case does
anyone have any other clue as to what it might mean?

It could mean CID with a condom on...or could mean without....I would ask. If her answer i the latter I would run as fast as you can.

I know some guys think it's THE BEST to cum when they deep inside you.(or rather they just like to cum inside you with a condom on of course) Other guys are always wanting to come somewhere else...face,chest etc.
It is possible it just means she allows you to climax while still inside her.

CID generally refers to a dangerous (i.e uncovered) practice. This may not be the case universally, and I would hope that some lady didn't list this hoping to not use the term FS (maybe thinking FS would be more incriminating w/r to LE).

My disclaimer here is that I am generally referring to ladies found here (i.e. more reputable/professional escorts) as opposed to B&S or RO artists from CL, BP or elsewhere. Ladies that do anything to get you into the room, drop the envelope and then do the minimum they think they need to do to get you to leave without grabbing your envelope.

Yes, yes, we know that some very professional ladies advertise on BP...

Here is my rationale:
IMO, the main difference between an FBSM session and a reputable escort (hereafter referred to as RE) would be CFS. This is a gross generality, of course, but I think a reasonable distinction when thinking about what you're looking for. So for the RE, CFS is just another standard service offered, and would not likely be mentioned. Among the RE crowd, the bigger distinctions come with BBBJ vs CBJ, DFK vs LFK vs none, etc.

In my experience with the RE crowd and CFS, I have never had a lady allow CFS and not allow you to "finish" without withdrawing, as long as it was covered. So, again, to make a distinction that CID is allowed makes little sense to me unless she is talking about uncovered acts.

That said, you can always ask for a cover, for anything, if that is your preference. For me, I would generally avoid a lady that provides BBFS as that raises the risk of everything, IMO, even if that distinction is small. For the record, we all know that BBBJ has risks, as does raw DATY and even CFS has risks (such as Herpes).

Also, I believe that you should assume every lady is having unprotected sex with someone (even if they aren't), whether professionally or civvie.