This is one of those situations that makes a lot of girls scared of going out, and I was one of them.
Over the years I saw people who I knew and diverted away and sometimes I realised too late and had to pass them by. One time I was in a restaurant with friends and on a table adjacent to me were neighbours and friends. I was with a couple of friends and I could see them looking around but it is natural to do so and they didn’t clock me and nothing was said. I can say that in all the years of being out I have never had anyone I know who I have been near in public recognise me.
The first thing is that they do not know you as a female so would be less likely to recognise you. People out and about are wrapped up in their own thoughts and are focused on what they are doing so in a crowd, unless you stand out, they wouldn’t give you a second glance.
I am lucky that I look fine in public and can interact with no problems. Those who are not so blessed will be seen as a crossdresser and perhaps attract attention for that reason so it would go that if someone you knew saw you it would be for that before any recognition they know you.