The problem with your way of thinking is you think that your date already has enough invested in you from online messaging and one date to give dating you more time. In my opinion, that's completely false. The clock doesn't start ticking until you first meet in person. And if she doesn't think your in person persona matches your online persona, than why waste more time? You can figure that out on the first date or "meeting". You don't have this problem with offline dating....
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