There are a couple of problems that AS could present when going into the medical field. One of them is being prone to sensory overload. If it's difficult for you to remain calm with everything happening around you all at once, it will take at least some extra training to get over this. You will have to learn how to filter through everything at a fairly rapid pace in order to do your job well and help the people that you're supposed to help (especially if you're working as a paramedic or in the ER).
The other thing that might be worth taking a note of is how flexible you are when it comes to sudden changes and unpredictable events happening. This can cause a problem for many people on the autism spectrum, but not everyone has problems with this. Just be sure you know what you can handle, especially if you're considering going into emergency response. Working a more regular medical position (such as a pediatrician) will likely have a more predictable routine on any given day.
The third problem that AS could present with becoming a doctor is interpersonal skills. A doctor really should be good with people and willing to want to help them to the best of their knowledge and skill. People with AS may not have this skill of being naturally good with people, but it can be learned.
I was just curious, but what kind of medicine do you want to go into? Medical research might be a fine choice for an aspie, and probably easier than dealing with lots of people. Some fields of medicine are more predictable than others, but they all require doctors to stay calm in emergency situations and be able to think clearly and, oftentimes, quickly.
So do any professions that have anything to do with medicine or giving first aid, for that matter... I should know that. 
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