There is an unspoken double text rule that says that you shouldn’t ever text someone you like until you get an answer. Sometimes that rule applies and sometimes it doesn’t. If you want to impress her, then figure out right from the start what type of girl she is.
If she is someone who likes a challenge, then the double text rule applies, which means you don’t text her more than once before she texts back or that could turn her off. If she is a romantic at heart, then send her more than one without waiting. Sometimes she’ll shit test you by playing hard to get and not answering without waiting.
If you feel like she is playing games, you have two options, stop the games and be honest or play along. Girls are complicated creatures, so sometimes you just have to take a chance. After all, if she is a game player and you aren’t, then you might not want to get too invested. Typically, games don’t just end with text messages.