I'm not even sure if this is the right place to post this, but I'm hoping you guys can give some good advice.
Here's the situation:

I met this girl. I got her number and we texted pretty regularly over the course of a few weeks. We started playing these really flirty texting game. Leading up to the first date we had been texting each other a lot all day long, every day. Basically, we kept one upping each other in text and eventually discovered that we both are kind of freaky in bed. She likes a man that is very dominant, and I like a girl that's very submissive. When we went out the date went perfect. It was super sexually charged during dinner and afterwards we grabbed a drink. After that, we go back to her place and had some wild animal sex.

Here's where things started to go south. We kept texting each other a lot the following day and the next 2 days after. Finally, I text her asking her a sexual question in the morning. 4 hours later, after no response, I texted her again asking why she was being shy. The next day I still hadn't heard from her, so I sent her another text basically being overly aggressive and saying I was going to punish her for not responding. In context, it's what she's into in bed so I wasn't worried about scaring her at the time.

It's been a couple days and not a word from her. I know this girl really liked me, but I think I might have messed it up by being overly needy texting her a few times in a row or appearing to even be abusive in how I seemed angry with that last text. I was basically giving her at the time what I thought she would respond to.

I don't want to chalk this one up to a complete lost cause. Is there any way to come back from this one? Wait a week or two and text her again? Would apologizing in a few days help or just make me look desperate or weak? We only went on one date, so it's a weird situation. In my experience, most things that start fast, end fast. I really enjoyed hanging out with this girl, so I'd like to keep seeing her. Thanks guys.

Texting two times in a row is rarely a good idea - three times, never. Looking at the situation your initital question was not so out of order; although she was a bit of a trashy hag for not responding to it.

Call, dont text - call. And ask her to grab a coffe together.

When in a situation where you think you said something that fell badly, and now seek to re-connect with the girl:
Remember, never apologize in a relationship - even if it's merely a sex-relationship! Say something like: "I might have rushed things a bit but hey let's take it a bit slow from here and meet up during the weekend. you up for it?" Make sure to have it sound informal and that it's not a big deal. It might be a big deal to you, because of your feelings, but objectively considered none of this is a big deal. If she makes a big deal out of it, it is because she over-values herself and thinks of herself as some irreplaceable priceless princess. In that case, on to the next whore, also if she doesn't answer the call.