So, Ive seen this girl three times, fucked her last night. Im digging the girl, she seemed like she semiregretted having sex. She stayed the night, I walked her home in the morning, the vibe was all good, I kissed her and told her to have a good day.

Ive heard mixed things, I felt like the comfortable walk home and kiss after that night means that I didnt have to call/text today... But I also dont want this girl whom I dig to think I used her for sex. But lastly I dont want to appear needy. I DID tell her I had a good night all that standard shit when I walked with her... So gentlemen of game, whats the right route here?

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"Make you my wife, improve in time, no wine and dine, don't waste my time, mature your mind!" - Kool Keith, Fine Girls

I messaged her last night around 10, fairly late. I basically told her my day was incredibly busy, blah blah and that I had a good time. She said she had a good time too, slightly joked.

When should I contact to hang out with her again? I'm new to this shit in terms of managing dates over a small period and shit.

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"Make you my wife, improve in time, no wine and dine, don't waste my time, mature your mind!" - Kool Keith, Fine Girls

So just to clarify the text you sent her, did you send it in such a way as "Sorry I haven't text you today, I've been busy" if this is the case that could come across in a bad light for you. You don't need to explain why you haven't text her, she feel the need to explain why she hasn't text you, so you shouldn't either.
If that is indeed the case you should detach yourself a little and make yourself the prize again, get into a short text convo about something and at some point just leave her hanging for a couple of hours (maybe even a day) just to show that she isn't eating up all your free time through texting, you're your own man and have your own life.
As for seeing her again, I reckon just go for the old standard way of getting a day 2 (or day 4 or whatever in your case) "I'm going to *** later on, you can tag along if you like" Personally I prefer to do this over the phone rather than by text, makes this a bit more personal. Do this after you've reduced your neediness mind, you might not have to but it'll increases your chances.

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"My toughest opponent is always myself"
Musterion's Journal

I put this:

"ohh man my day was more busy than I though. hopefully studying psych hungover was fun as shit. meant to text earlier but had a good time last night, even if you didn't know *it's an inside joke won't make sense* is!"

I think I should have removed the "meant to text earlier" for sure. She mesaged me on fb, but it was kind of brief. I think I'll hold out again and message her tomorrow.

You're right my good sir. Sometimes, core concepts become blurred, especially when sex is involved.

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"Make you my wife, improve in time, no wine and dine, don't waste my time, mature your mind!" - Kool Keith, Fine Girls