[@KatherinWinter]
If the MiB created the BoSA as soon as they uncovered the supernatural world, then its not like they had a whole lot of candidates. I mean, you can't just walk into the corner store and by a medium for a buck ninety-nine. They probably saw her and decided that her skills were more valuable than her flaws were damaging. She may be a little unhinged, but she's a great detective who sees dead people. The BoSA aren't going to skip out on that. Besides, it's really more of a character thing. She's the type of girl who just doesn't give a shit, and I want to show that. 

You're the GM. You control the world, you control the NPCs, and you make sure none of the characters go off the rail, but the players get to decide what they do with there characters. It's not going to hurt anyone, no one's going to be pissed, so I don't see the problem.