So you both don't text each other because you were texting her a lot?
Honestly, that's not something that you, or your friend, should remember for the rest of your lives. If you lose a friend just because you text her a lot and it annoys her, that's not being a friend - that's just being rude. So what if you texted her a lot? You did it for a reason - because you were worried for her, and she decides to ignore you. Well either way, if she wants to stray away from you because of something silly like that, then she's not worth worrying about.
May I ask why you were worried for her? If it was because she's suffering through some health condition or a really bad habit (like smoking), then I'd feel sympathy just the same way you are now. And in a case like that, I'd text her something like "If you ever want to talk, or if you need help from me, let me know" and wait for her response.
Otherwise, you shouldn't stress over it too much. It's something that happened in the past, and will stay in the past. You can't change what happened, it'll be there forever.
It's like a situation that happened to me when I hung out with my friend in the library. We were VERY loud, and probably got half the library's attention. You had no idea how embarrassed I felt afterwards. But right now, I could care less. You know why? Because right now, I can guarantee that everybody in the library forgot what happened. And that way, there won't be any need to be embarrassed.