I agree with the majority of pp that you sound unsuited to teaching. I say that as someone who has been teaching for over 30 years and also as an autistic woman.
I do sympathise with you over having a difficult job share. If that was the only problem, you could just ask to work with someone else next year but you seem to hate tasks that are intrinsic to the job and rather than just moaning about them (like most of us do) you seem to think that your autism should excuse you from them.
You mention repeated run ins with the head teacher but give no examples of what the head has said which gives the impression that you have unreasonable expectations of what reasonable adjustments should involve.
I had my own autism diagnosis as an adult (very late and after I had been teaching for many years).
It helped me understand things such as why I found sudden, unexpected changes (even for very small things like children sitting in a different position for assembly) very stressful or why I like working alone in my classroom over lunch rather than going into the staffroom (helps me to decompress when I'm peopled out).
It's given me the confidence to say no to things that don't affect my teaching eg we had a drumming session once as a team building activity as a small part of an INSET day. I found it overwhelming so asked to go and get on with some jobs in my classroom instead.
But I don't try and get out of anything that is important eg I don't mind talking to parents face to face but I have always found phone calls very difficult so used to hate phoning parents. I had to do it so just pushed through my discomfort. Now, I have done it so many times that I'm ok with it.
I think that you either carry on with teaching, acknowledging that there are aspects you dislike but which you need to do as they're intrinsic to the job, or you switch to something like tutoring which only involves the aspects of teaching that you enjoy.