Sort of on topic, I remember a murder mystery I read, (unfortunately not the title). I read it because the main murder suspect had Asperger's syndrome.
His victim was his psychologist, and she (the psychologist) suffered from OCD and packrat syndrome.
A comment by the clinic staff in the book was that it was unfortunate that her OCD did not extend to cleanliness, as it was impossible to tell what was disturbed in her office.
And as for real life, my stepmother was a psychiatric social worker, and being a product of the Depression, she is quite a bit of a hoarder, and there is really nothing anyone can do about it.
But why anyone would think your profession would make you immune to mental illness, is beyond me.
At least 1 in 7 has some diagnosable mental illness, even though they are functioning in everyday life.