I get a regular newsletter from the Environmental Health Perspective, which publishes synopses of a wide variety of studies on environmental health.
I found this of interest; it's just a summary, but addresses the Deepwater oil spill and various health issues. Of course, with any study, it's difficult to determine what other factors might have been influential, and there's always the issue of social and economic factors to consider as well as any predisposition or prior instances of the stated health issues.
The study also is only a telephone study; apparently there wasn't any medical testing done.
Article: "Depression, Mental Distress and Domestic Conflict among Louisiana Women Exposed to the Deepwater Horizon Oil Spill in the WaTCH Study."
I've truncated the URL, so you'll have to add the http and www. Otherwise the link would be affected by the filers. You can also google "ehp.niehs.nih.gov/EHP167/" and get to the site.