"What is a white-economy merchant?"
A white-economy merchant is something :
- in a narrow/technical sense that isn't illegal
- in a slightly broader sense isn't flying under the radar because it's legally or morally dubious
- in a broader sense, isn't going to be used as an example of "Why bitcoins should be banned"
- in the broadest sense, something you can cite to the cynical as an example of bitcoins actually working as a legit means of exchange.
You can tell your mother about it in other words.