I'm not sure why, but sentence feels forced and unnatural, and as a result a bit unconvincing. My intuition is to insert an "and" at the end of those three options and then it feels like you can't drop the "a", i.e. "married, tall, and a doctor in medicine". I mean, maybe you can but the sentence feels odd to me.

And the weird part is that you can put those three properties in any order, and you would not place an "a" in front of the other two.