My parents have known something was wrong with me for the ages. It took them years, at least until I was about twelve to get an official diagnosis of autism. However, there have been outsiders who don't really understand how I can have an ASD. Mostly because in some cases, my social skills are rather good compared to most people who are diagnosed. They aren't like... good, but they are maybe a bit below average. I can talk your ear off once I'm more comfortable with your presence and such.
I had one time where I was at the hospital for chest pains. The nurse knew I could speak and communicate on a normal like scale. Well, I'm also deathly afraid of needles, especially IVs and stuff. All she had to was set all the IV stuff down, causing me to fly off the bed, full on panic attack mode. Anyway, she didn't really understand that I had an autistic disorder after my mom explained, so she denied everything and said stuff like, "but she can communicate..."
So yeah. My parents have accepted it more or less. However, there are times when they forget and don't understand my conditions and such.
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Currently diagnosed with Autistic Disorder, ADHD, severe anxiety, learning delays and developmental delays.