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One Halloween I was out dancing with my wife and I we saw another person dressed up as a woman (actually he was not really presenting very well as a female)... this person came over and asked me, are you a guy?! ...I slowly answered, 'yes?....' and he said...'oh! You are just like me!'. I felt a little annoyed because I didn't feel 'just like him'. He didn't look feminine and yet he had trouble figuring out my gender...and I was with my wife, who was a little nervous about going out, so I was irritated that someone might disrupt the positive vibe I was maintaining so far.
No problem with interacting, but don't make assumptions!
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I remember the first time I seen two sisters walking towards me in a high tourist area, and by the looks of the bags in there hands they did a lot of shopping. I remember the excitement the first thing I wanted to do was run up to them and say something, then I thought how strange that would be for both of us, so instead I tried not to stare but I did want to see what they were wearing.
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I think "A" handled the encounter in a naive way. If I saw another girl out shopping, that means I have read her and that can be disappointing for the recipient especially if you go up and acknowledge her directly or publicly, so you are best to leave her alone.
On the other hand, if your encounter is suddenly face to face, I expect a smile and some small talk could break the ice. You could share some thoughts on clothes then compliment her on how she looks. You would soon pick up if she felt uncomfortable and at that point you would move on.