I'd hate to be the pessimistic one of the bunch, but that's pretty much my role in my group of friends, although I refer to it as "voice of reason". So bear with me.
Anyway, let's face it, most aspies, aspie guys especially, have a lot of trouble finding romantic partners and/or getting people romantically interested. So for the most part, you will not see someone highly into you right off the bat, unless you're a setting that's heavily party-oriented or time-pressured, like a booze cruise or a pub crawl. In those situations, there is pressure "to get something going" ASAP, due to the "now or never" nature of events. You may also also run into sloppy, friendly drunk girl, who may give hugs to any willing taker but stop short of going further. AS or no AS, you will generally know when you're in that type of situation.
So, when you meet a girl who seems more interested in you than you are interested in her, that's a yellow flag right there. If the girl is the type who has no trouble meeting people (i.e. "hot"), it becomes a red flag. In OP's situation, it looks suspicious, especially with the 84 texts. Look at it this way: you met her in a setting that gives girls/women almost limitless choosing power: on a dating site. And yet, she's acting the way she is. I'm not putting you down or discrediting your efforts, but what you're dealing with is an exception, rather than the norm, on dating sites. So feel free to move forward, but be careful and don't rush into it just because she showed interest.
As someone I once knew used to say: just because a girl gave you the green light doesn't mean you gotta to floor the accelerator. Remember that, and you'll be fine.