The actions you mention do not significantly change the odds of you getting busted. They do marginally change the odds of you being charged and the charges sticking, but as others have noted, if you find yourself in search of a provider in a room with a cop, how things turn out is going to be much more a function of how you handle yourself, and how intent the cop is on busting you than anything else.
It is very, very, very unlikely that this lady is a cop, or that this is a sting. Feel free to PM me if you want the reasons I say that, but it is true.
OTOH, if you feel nervous about going ahead with the date, by all means cancel. You are the only one with the full, clear picture, and you are the one who needs to feel comfortable with it.
A long time ago I made a date while on a trip, and the lady did not screen me. Then it turned out her incall was in her house. To cap it, the condom broke. When she did not screen me, I asked her about it, and she said my call was her screening, and eventually I came to understand what she meant. But I was nervous, came here for reassurance, then went ahead with what was a pleasurable date, but also a train wreck. The funny thing is, it would have been a pretty good idea to cancel that date, but not at all for the reason I was worried - the train wreck was something I probably should have avoided and there were some signs of that in the early communication. But it all worked out fine.
I would go ahead and learn from it, probably enjoy it, too. But that is me.
zig