I have not seen or read of any evidence to indicate that DO Psychs are hindered professionally one bit due to their profession or DO-ishness.
But were any studies done?
I graduated from a foreign medical school, and I'll completely admit it was because my undergrad GPA wasn't a 3.9, it was a 3.4. (I transferred to Rutgers. Had I stayed in my original school, my GPA probably would've been around a 3.7-3.9)
During applications to residencies--that was held against me by several programs. E.g. went to a lecture, got into a very good conversation with the lecturer after the lecture, and then the lecturer even asked me to apply to his program and said he'd remember my name. Asked me which school I went to, then he said, "oh"---pause---"oh, we don't accept foreign graduates or D.O.s". He did though reccomend that I apply to his program's fellowhips which he said were open to foreign grads who have completed U.S. residencies.
(At least that comment was good fodder for jokes. A buddy of mine from the same medschool was present when the lecturer made the comment & he imitated the "oh"---pause---"oh" perfectly).
I have seen some people mention they do not want a D.O. doctor. Some say when they choose a doctor, they will only take an M.D.
Again, I do not have any prejudice against D.O.s, but I have seen several show a prejudice against them.
The better question--will it hinder a D.O.?
I think there will be barriers, but once you establish yourself in your job, you'll be fine. I think the biggest barriers will be when applying to residency & fellowship. However once those obstacles are overcome, the problems will decrease. Once you're at your job, people will judge you for the job that you do, not because of the school you graduated from. No nurse or patient will think less of you if you're doing a good job, especially when there's a bunch of M.D.s out there that they think are jerks. Mentioned this a few times but my own program's 2 worst residents that were kicked out during my 4 years (and my dept head mentioned they were the 2 worst residents ever--ever!) were US M.D. grads.
And belittling a point I made above, yes there are those who do not want a D.O., but the majority of patients I've seen don't even know the difference.