Apologies for bring back such an old topic but it was the most recent one I could find on the subject.
I've been a Pro Wrestler in the UK for around 10 years, and currently run one of the most critically acclaimed 'Britwres' company.
It's ridiculously stressful work, which leads to constant meltdowns (luckily always in private), but at the same time I have a huge passion for it which helps drive me, and it's one of the only things I could ever imagine doing.
To the original poster I would say it's tough to have AS and work as a professional wrestler, but it is possible. While a lot of guys I've met only trained for 5-6 months before they had a match I had to train for 2 and a half years before I was anywhere near ready. I guess it's different for everyone, but I personally found since I'm naturally clumsy I had to practice moves over and over while others around me were getting them right first time. I've always had problems with my left & right which is a big problem for wrestling, so I found I had to do things multiple times till I could do them instinctively without thinking. I also find I have to plan a lot of stuff before the match as I'm not great at thinking on my feet under pressure, which can prove to be a problem if I have an opponent who prefers to do entirely improv.
And then there's problems I have with travel and new environments which REALLY makes it tough, but I personally dealt with this by finding a company that just ran around half a dozen venues on a regular circuit and mostly working for them.
Social interaction has always been a challenge for me, but I found with wrestling there's rules of etiquette which made it nice and clear how I was expected to act (go round and shake everyones hand as soon as you enter the building, show respect to veterans, always stay in character around fans, ect.) and it also really helped that everyone shared the same obsession as me, which meant I was surrounded by people who actually wanted to listen to me talk about my obscure narrow interest, and my encyclopaedic knowledge of everything wrestling was valued instead of ridiculed.
So, yes, it's perfectly possible to become a wrestler with Asperger's, but it will probably be a lot harder to achieve the required level of physicality and to grasp the complex crowd psychology needed to excel. That's not to say it's not worth it, and I'd say undoubtably give it a shot. There are wrestling schools all over the place nowadays, but always do your research to make sure they're reputable.