It's rare I get asked out - I'm told this is because I'm intimidating, I personally think it's because I always make the first move
I have been asked out by someone who I was not interested in - being asked out in general is a source of panic, fight or flight response comes into play - but the thing is that it's like when someone asks you anything, you're not 100% sure you're able to say no, so you just go along with it. I've had this a few times when people have asked me out, I've not known how to say no (assuming I've not been able to 'flight') so I go out with someone, then somewhere along the line I suddenly freak-out about what I've gotten myself into and run!
Then remember this - you're asking aspie/autistic women *blink*
I don't think my response would be like that of many NT women, I think NT women may be less likely to react this way, probably just think 'Oh, that's sweet, but I'm not interested' it may make it awkward but chances are they're just as likely to remain friendly as they are to run. Generally my way of working such things is to become friendly with someone, now I tend to be able to read body-language (men are easy to do this with, women I could imagine are a pain to read for ALL men, not just AS/ASD men), and do keep asking them out as a very casual thing, try to get them out on a group night out or event, or just for a drink or event as a very casual something to do.
I don't think people react well to 'date' because it does bring about a level of panic due to the pressure, and it is a very obvious 'I like you' which puts you at risk of rejection, if a woman likes you she WILL put in the effort to be around you and encourage you, so a casual thing can easily turn into a date if she's interested, if not a casual thing will remain casual and you'll not risk rejection or awkwardness. Or at least that's how it's always worked out for me, it seems to work.
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Bloodheart
Good-looking girls break hearts, and goodhearted girls mend them.