Usually, a veteran murder wouldn't give himself away easily. They would blend so subtly into the crowd, that you could even strike a conversation with them. Then again, one can't judge someone based on appearance alone. It's usually tough to catch a murderer on the run unless there is a good description. It's easy to change face too.
Akito explained to her that the demons who live in this era need to find ways to earn money. While there is a separate area for them, they still need to earn money like any average person would. Thus, if somebody comes to them with a simple request like a disguise, they accept.
