If when you open she does not seem to appreciate your approach and she looks annoyed, embarassed or whatever... how long do you try to insist before ejecting the set?

Of course you should give up at some point, but when in your opinion?

I remember one girl sitting on a bench that I opened directly by telling her she looked attractive. She told me that I could stay there next to her but to mind my own business in a quite rude way. I told her to pretend I did not say anything. After I while I told her the truth, which number she was that day, how many approaches I did until my first lay etc... and she instantly smiled back and got hooked to my story

Of course I lost all my credibility (that was my first "honest approach"), but I got instant comfort with her.

What I want to say is that sometimes there is a way to change her first impression of you also from the most discouraging start, but telling her the truth about pick up is probably not the best way if you really want to attract her and not just entertain her.

Are you persistent enough to try to attract her also from a bad start?

This one here is completely situational.

And we have to be very careful with how we address this topic, because there are many guys that take the word "persistent" too literal and just don't know when to move along.

Rejection while can sometimes be similar to ASD. When a girl doesn't want you to think she's a slut so she decided not to have sex. But we all know through a bit of verbal reassurance she can feel more comfortable with the idea. The same with approaching.. Sometimes a rejection is a kneejerk reaction because the last 3-4 guys that approached were assholes, boring, or just socially unintelligent. Therefore her only reference point for being approached is negative. This is where you can come in with a bit of reassurance and show her that "This time it will be different". That you'll be effective at leading, and she'll be comfortable following.

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I wouldn't stay in a set like this at all. You'll experience almost none of this if you start talking to them without a vibe that you're trying to get something from them; that it's an even energy exchange; emulating a bf/gf convo. She'll happily slip right into that frame almost every single time.