If anyone shows up at my door, city inspector or not, I don't let anyone into my home unless absolutely necessary. I hear too many stories of people encountering problems once the municipality they live in knows they have snakes. Well, I think the best way to go about it is to refuse entrance to a supposed inspector. Home privacy is very important and if they really want to come in and see, let them get a darn search warant. I know those a hard to get so just stand your ground when someone come knocking next time.
Keeper of 5 snakes, leopard geckos, 1 green iguana, 20+ tarantulas, 2 dogs & a bunch of rats!