That's a good question! If the woman is curious about or attracted to the guy, she'll reach out to him to chat a little bit. If he seems interesting and nice from the texts, then she might decide to have a date. Women have very differing levels of comfort they need to reach, though, before they'll want a date: some women want to wait a couple weeks to get a good feel for the guy's personality and whether she trusts spending time with him. Meanwhile, other women just want to meet early on because in-person chemistry can be so different from over text/phone — so meeting and evaluating this chemistry right up front wastes less time.
Bottom line is: if she got a good feeling about your vibe, she'll reach out. :)