There are no rules to follow. Do whatever you feel like. Text her immediately if you want. The thing is that she might like you even more if she understand that you like her too. But!!! There is only one thing to watch out for! If she loses interest, starts answering your texts without enthusiasm etc. If that happens, immediately take a step back. Maybe acknowledge the vide you get by saying something like "you don't seem to be very enthusiastic about this, maybe we should talk another time?".

Some girls are impossible to enthuse. Others are easier. Don't blame yourself if things go wrong unless you did some obvious mistake.

You can do whatever you want Clocks,

Its all about how secure you are about doing so. If you believe that contacting her first goes against something inside of you, it will place a strain on the relationship. A girl is more concerned with how you feel about your decisions than how she feels about them. If you feel needy about texting her first, and you do it anyway she will receive it that way.

Its not about "playing games" its about being the master of your emotion. If you punched every guy that you "Felt" like punch that wouldn't serve you well. But is it playing games to not do what you "Feel " like? You have to know the difference.

In my personal experience a girl wants to be chased down in the beginning, but after that she wants to chase you down. Its fun for her to "Secure you in" and/or "lock you down". Once you're in, just let get do the chasing. It makes her happy.