Turns out the Lutheran early childhood center didn't have any support positions open at this time. The lady interviewer was really nice and tried to set up a win-win situation for the school and me, but there isn't much of an opportunity at present. I thanked her for her time.
However, I've already had several jobs now as a substitute para at a nearby school district. They've all seemed to go pretty well -- that is, until an assignment today. I worked under a lead special education teacher who was shockingly rude to me, as well as one of her students, and the para I was subbing for before she left. She berated me for being too shy and doubted that I actually had years of experience as a sub because of my shyness, outright yelled at one of her students, and embarrassed the para I was subbing for by criticizing her for several minutes because she didn't have sub notes ready for me (that para was still in the classroom when I arrived; I understand she should have had notes for me, but the lead teacher's criticism of her for not having those was rather lengthy and seemingly excessive, so I felt bad for her). I don't plan on returning to that particular school. I should still get enough jobs from all the others in the district, so I can afford to ignore that one, I think. I did stand my ground against that teacher when I perceived her criticism and shouting was over-the-top, and I defended my record when she doubted my history of experience, though. I don't know if she will whine about me to the office or district; if she does, I will calmly state my case. But I'm hoping it was just an isolated experience, and I can continue being a sub para at all the other nicer schools and classrooms in the area.
In better news, I think I've picked up a new social cue that has evaded me for over thirty years: you're supposed to sit down whenever you enter a room. I've always stood until I'm told to sit. People keep telling me to sit, so this must be one of those social rules most NTs learn by osmosis. 
I have not disclosed my autism. Hopefully it will not become an issue.
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36 yr old female; dx age 29. Level 2 Aspie.