Have you talked to your daughter's therapist about this sunrise? Maybe you could get some reassurance that way.
We all know that some people have prejudices about mental health diagnoses and treatment(s), it is so subjective. I don't know if there are professions that a person would be excluded from because of a mental health treatment history. It is so common and so much more accepted now days so I would hope unless a person has a very serious disorder that it would not be significant. To me it would say that the person was wise to pay attention to their mental health and intelligent to seek treatment.
It is a good question you raise and I have had professional friends who have wanted and needed treatment but would not risk it because of this very worry. So sad!