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I can only remember one time in my life that a guy has come up to me in public to flirt with me (apart from at a bar or club).
Umm... no, this isn't associated to your Aspie nature, this doesn't mean anything, yellowtamarin - it doesn't mean that you have an AS-Woman-specific thing that prevents guys to approach
you in public. Not saying you have it easier or harder but you reasoning for this conclusion is false.
The "Public" is not the venue where males usually approach females - it is something very rare to happen to most women (from a decent guy, harassers/catcallers don't count) - it's not something that "oddly doesn't happen" only for you, hurtloam, cafeaulait and other aspie women, but it doesn't happen to most women, regardless if they're NT, Aspies, beautiful or not.
It is so awkwardly difficult to cross the hall/room/street and say the first words to a complete stranger without sounding like a complete cheeseball, creep or PUA jerk, so 99% of guys simply don't do it, and those who did it usually regret it later and stop it for good.
But if you have often been approached in the places where guys approach women like bars/pubs, gyms (guys often "give a hand" to girls there), friends gatherings, hiking/nature activities, facebook and dating sites ...then you're like other women in that regard, you don't have some kind of "special AS-specific repulsive trait" that prevents guys to approach you and to be interested in you romantically or sexually.
I agree with the rest of your post, especially about being stuck in routine.
Fair enough. Personally - Never been approached in bars/pubs, the gym, once at a friend gathering, never at festivals, other group activities or hobby clubs or Facebook. Only on dating sites, I get approached quite a lot. I like to believe I am not ugly but in the past I have had very little succes with guys even though I wanted a boyfriend. In a relationship for 1,5 years now with someone who approached me on tibder.