I found her. Or a good approximation to her. Sadly, I was nowhere near ready to be anybody's boyfriend at the time and she is now dating an AS (well, some sort of ASD) guy much younger than her. He must think all his christmasses have come at once
Reverting to the generic idea, and talking about ideals (I am aware that she doesn't truly exist in any one person):
Psychologically: AS like myself. I really want somebody that I can have a good mutual understanding with. She must be rational and intelligent. As a consequence she will be an atheist (of the "God almost certainly doesn't exist" kind) and despise superstition for all the harm that it does and and religion for all the misery that it causes.
Behaviourally: A near "female clone of me" but with enough differences to make life enjoyable and mature enough for us both to be able to negotiate around the problem of us both trying to being in control all the time on matters where we disagree. Shares several interests with me so that we can spend time together at clubs or groups, as well as having some of her own. This applies to television shows, films and music as well as hobbies; I'd kinda hope we'd be spending a life together.
Educationally: A genius in the style of Saul Kripke or somebody like that; somebody I can admire for breaking new ground in philosophy, mathematics, science or engineering. Otherwise, noticeably talented in some obvious way; for example, artistically.
Emotionally: As affectionate physically (hand holding when walking around is very important to me) as I am and, like me, would give her heart as completely to me as I would to her and has roughly the same level of sex drive as myself.
Appearance: Tall, slim to slender, dark hair worn long, dark eyes, small to medium sized bust and a smile that can light up a room.
Disposition: Kind: she would go the extra mile to help somebody in trouble and she would be generally just "nice". Honest: if she fell out of love with me, she would break it up telling me first, not going with someone else behind my back. If she had a problem with me, she would talk about it instead of grumbling or silently resenting. Able to take criticism, as long as it is ultimately constructive and diplomatically phrased. If she asks "how big my ass looks in this", she expects an honest, if diplomatic, answer.
Age: Same age group as me; that is, 45-55. Or somebody younger who is very mature for their years. Having a family isn't so much of an issue at my age and in my circumstances; but if I were interested in doing so, she would have to be no more than 30-35 when we stared dating, to give us enough time.
Other: If she doesn't like, or is allergic to, cats, she better be outstanding in the other departments 