You don't want a doctor who's anti-medication... you want one who's open to alternative approaches, and willing to respect your preferences.
Also, if your desire to avoid medication is based upon having been involuntarily subjected to antipsychotics (possibly as a child or teen), and you have ADD overlaid on top of AS, you should really consider giving stimulant meds a try. Not all Aspies benefit from them... but a large plurality *do*, and if you're one of them, they can profoundly improve your net quality of life.
Really, if you're determined to not take meds at all, why do you even need a new psychiatrist? Just quit going to the one you're seeing now, and put the meds you got from him in the back of a cabinet & forget they exist. The only real reason you need a new doctor is to try better meds that your current one won't allow you to have. Nobody (in the US or Britain, at least) is going to show up, drag you (an adult presumably not deemed to present immediate risk to the safety of others) to a doctor, and force you to take meds you don't want to take against your will. If you're not going to the doctor for meds, what valuable service are you getting from him in return for your money?
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Your Aspie score: 170 of 200 · Your neurotypical (non-autistic) score: 34 of 200 · You are very likely an Aspie [ AQ=41, EQ=11, SQ=45, SQ-R=77; FQ=38 ]