Here's the thing about women doing cold street approaches (bar approaches are OK) - unless she is at very low Sexual Market Value (i.e., fat pig, etc.), the target will presume that there is something fishy going on (e.g., she's a prostitute, she wants to drug him and take his money, etc.), or at the very least, she's a complete nutcase. I had a similar cold approach in an eastern European country, and just came to the conclusion that it wasn't worth the chance of her ripping me off. I also had a similar cold approach at a gas station in Colorado (she gave me her number), and I considered following up, but then came to the conclusion that the only type of woman, especially in the USA, who would do a cold approach like that must be a loon and/or she must have been rough looking (the interaction was too short of a period of time to get a good look at her, although she didn't seem roly-poly fat).