If you think the handle approval proces takes long, this game might not be suited for you. You will often have to wait days for your trip to finish and since people play this game all around the world, a reply to your messages might also take a day.
tl;dr: this game needs patience.
That said, there currently aren't any open handle requests so yours was either approved or declined.
All handles are manually approved by a team of volunteers, so it depends on the time of day and how much time one of the team members have. I think at the moment most handles are being reviewed within 6-12 hours, although it may take up to 48 hours if it doesn't fall clearly into acceptable or unacceptable.
Ensure you are checking spam/junk mail folders.
"May the Grace of Ara go with you, and His Vengeance be wrought upon your enemies."
Probably a handful, but either way it shouldn't take over a day to get your handle accepted. Since I cleared out the handles this morning, it would appear that your chosen handle was not acceptable, so you will need to choose another one.