I too am and less concerned with privacy than many other forum members. What are you worried about if she's just in the 'general area'. She will almost certainly not embarrass you if she runs into you in public. You should DEFINITELY NEVER approach her or embarrass her if you see her in public. You can run into any provider anywhere in the city at any time. The same rules apply. I have 2 fond recollections:
After a session with a young lady at her incall about a half mile from my apartment, I discovered that her actual residence was in my condo building. She eventually told me her real name. Of course, we merely said 'hello' when we encountered each other in the condo building. I also found out that she ran in the same social circle of highschool friends as my daughter and that led me to decide she was just 'too close' although not because of location. I offered to help her out, driving her to pick up groceries and pet supplies when Covid hit and she was very appreciative. She once asked me to help her move a few things in her apartment and, again, was appreciative. However, I do point out that I never booked another session from her and I did not expect any 'favours'. It was kind of funny going to bed every night thinking that I was doing so above a SP....she was living in the apartment below mine (but never entertained there). Another very well known and respected SP is a good friend of hers and I've also encountered her at my building... both discretely and without more than a 'hello'... AND I have enjoyed many outcall sessions with her at my apartment as well.
Second one is even better. There was a very young blonde spinner who was a clerk working in a store located a few hundred yards from my condo. The moment I first saw her, my libido started racing. She served me at the store several times, always with a smile. A few months after first meeting her, I booked an appointment with a very popular SP.. Imagine the (very pleasant) shock on my face when....
guess who opened the door to her incall? We both recognized each other and laughed about it. Again, whenever I encountered her at the store, neither of us let on that there was more than a customer/clerk relationship going on. I've seen her for sessions a number of times and she has a very impressive history of reviews on this forum. In fact, the has visited me at my apartment for outcalls... always very discretely.
I do point out that I am single.