I think we just need to be flexible with women like this. You used an opener that left a sour taste in her mouth...okay, fine it happens.
The good thing you have going for you is that she replied to you twice. If she was completely and utterly turned off she could wasted less time and just deleted your message and not replied.
It's clear from both of her responses that's she not going to take well to having to qualify herself right off the bat. Making her qualify herself has made her think you have an "attitude." That's fine...there are other approaches you can use here, and it's really up to you and what fits best with your own personality and style.
If I were in the situation I might play off her comments and take the piss out of yourself a little bit. If you show you're not offended by her comments and have good humor about what she's sees as a bad attitude, you might be able to squeeze in.
I'd probably say something to the effect of...
"Wait. Hold up. You mean poking and prodding and bugging the hell out of people isn't the way to score points? Damn...I've been going about this the wrong way all this time!

"
And then I'd probably slip in a different approach...maybe check out her profile for something she's into that you're knowledgeable on like a certain band or a book or something like that and try to take the heat off yourself and get her interest going again.
and then after attempting a differerent approach, whatever it may be...i'd end the message by coming back to the bothering thing again and playfully say something like:
"Well I'd love to stay and chit chat, but there's a whole world out there that needs to be bothered! Until next time...ciao for now!"
But hey...like I said...it's got to fit your personality. That's just how I'd deal with it, but I'm sure there are plenty of valid ways to go about it. The key is we can't be intimidated or shaken by women like this. Approach it like you would anyone else...you're trying to spark mutual interest, and if it just doesn't happen on one end...bah, who cares...there are a ton of women out there
They key with this one I think is separating yourself from what she seems to think was rude, arrogant, or attitudinal and show her you're not. Yeah it may be qualifying yourself to her indirectly...but sometimes when you have a hole to get out off you either have to knock yourself down to build yourself back up if she's that worth it to you...otherwise just walk away if she's not even worth it.