It has already been mentioned a while ago, since I searched on google, it has already been questioned as well.
What is the possibility that we have the option to hide our character from search function? So only people in our friend list/free company/LS, are able to find where I am or what I am doing? Below follows description:

Feature:
Add privacy checkbox option which own character does not appear on search filter.
Characters with this option checked will not be shown in any search queries.

Advantages:
Stops unwanted people from chasing you around the game.
Player will not need to create another character from zero or pay for a character rename to stop being chased by these same undesired people.
Gil sellers will not find your character and spam messages to you using this feature. (they might find other ways)

Disadvantages:
None. It's all optional.

I hope my feedback was insightful and look forward to this being look upon by the DEVs!
Thanks!