There's this weird idea that you have to wait a certain amount of time before replying to texts or calls or asking people out... but seriously, fuck that noise. If you're interested, show your interest. Maybe it's just me, but I would much, much rather know someone was excited to see me and spend time with me than not know.
Asking her out on another date isn't being pushy. You're asking a question that she's completely at liberty to decline.
Also, I'm glad you don't think I'm being pushy. I don't want to be pushy. I just want good things for you.